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Finding the Fourth Proportional to 147,861, 221,763.96 and 48,022.20

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Solution

The fourth proportional to 147,861, 221,763.96 and 48,022.20 is: 72,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,861 : 221,763.96 = 48,022.20 : x
  2. Step 2: Convert to fraction form
    147,861/221,763.96 = 48,022.20/x
  3. Step 3: Cross multiply
    147,861x = 221,763.96 × 48,022.20
  4. Step 4: Simplify right side
    147,861x = 10,649,593,239.91
  5. Step 5: Solve for x
    x = 10,649,593,239.91/147,861
  6. Step 6: Final answer
    x = 72,024.36

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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.