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Finding the Fourth Proportional to 285,158.31, 393,513.71 and 157,831.17

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Solution

The fourth proportional to 285,158.31, 393,513.71 and 157,831.17 is: 217,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,158.31 : 393,513.71 = 157,831.17 : x
  2. Step 2: Convert to fraction form
    285,158.31/393,513.71 = 157,831.17/x
  3. Step 3: Cross multiply
    285,158.31x = 393,513.71 × 157,831.17
  4. Step 4: Simplify right side
    285,158.31x = 62,108,728,471.18
  5. Step 5: Solve for x
    x = 62,108,728,471.18/285,158.31
  6. Step 6: Final answer
    x = 217,804.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.