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Finding the Fourth Proportional to 157,780.20, 236,324.70 and 137,044.20

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Solution

The fourth proportional to 157,780.20, 236,324.70 and 137,044.20 is: 205,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,780.20 : 236,324.70 = 137,044.20 : x
  2. Step 2: Convert to fraction form
    157,780.20/236,324.70 = 137,044.20/x
  3. Step 3: Cross multiply
    157,780.20x = 236,324.70 × 137,044.20
  4. Step 4: Simplify right side
    157,780.20x = 32,386,929,451.74
  5. Step 5: Solve for x
    x = 32,386,929,451.74/157,780.20
  6. Step 6: Final answer
    x = 205,266.12

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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.