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Finding the Fourth Proportional to 285,258.38, 393,656.56 and 157,942.17

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Solution

The fourth proportional to 285,258.38, 393,656.56 and 157,942.17 is: 217,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,258.38 : 393,656.56 = 157,942.17 : x
  2. Step 2: Convert to fraction form
    285,258.38/393,656.56 = 157,942.17/x
  3. Step 3: Cross multiply
    285,258.38x = 393,656.56 × 157,942.17
  4. Step 4: Simplify right side
    285,258.38x = 62,174,970,926.28
  5. Step 5: Solve for x
    x = 62,174,970,926.28/285,258.38
  6. Step 6: Final answer
    x = 217,960.19

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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.