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Finding the Fourth Proportional to 186,991.40, 280,400.70 and 81,756.20

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Solution

The fourth proportional to 186,991.40, 280,400.70 and 81,756.20 is: 122,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,991.40 : 280,400.70 = 81,756.20 : x
  2. Step 2: Convert to fraction form
    186,991.40/280,400.70 = 81,756.20/x
  3. Step 3: Cross multiply
    186,991.40x = 280,400.70 × 81,756.20
  4. Step 4: Simplify right side
    186,991.40x = 22,924,495,709.34
  5. Step 5: Solve for x
    x = 22,924,495,709.34/186,991.40
  6. Step 6: Final answer
    x = 122,596.52

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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.