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Finding the Fourth Proportional to 268,505.74, 402,737.43 and 156,114.25

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Solution

The fourth proportional to 268,505.74, 402,737.43 and 156,114.25 is: 234,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,505.74 : 402,737.43 = 156,114.25 : x
  2. Step 2: Convert to fraction form
    268,505.74/402,737.43 = 156,114.25/x
  3. Step 3: Cross multiply
    268,505.74x = 402,737.43 × 156,114.25
  4. Step 4: Simplify right side
    268,505.74x = 62,873,051,831.38
  5. Step 5: Solve for x
    x = 62,873,051,831.38/268,505.74
  6. Step 6: Final answer
    x = 234,159.06

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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.