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Finding the Fourth Proportional to 100,742,592.80, 150,861,946.80 and 80,587,200.80

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Solution

The fourth proportional to 100,742,592.80, 150,861,946.80 and 80,587,200.80 is: 120,679,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,742,592.80 : 150,861,946.80 = 80,587,200.80 : x
  2. Step 2: Convert to fraction form
    100,742,592.80/150,861,946.80 = 80,587,200.80/x
  3. Step 3: Cross multiply
    100,742,592.80x = 150,861,946.80 × 80,587,200.80
  4. Step 4: Simplify right side
    100,742,592.80x = 12,157,541,999,850,518
  5. Step 5: Solve for x
    x = 12,157,541,999,850,518/100,742,592.80
  6. Step 6: Final answer
    x = 120,679,264.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.