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Finding the Fourth Proportional to 102,362.29, 141,258.50 and 57,042.18

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Solution

The fourth proportional to 102,362.29, 141,258.50 and 57,042.18 is: 78,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,362.29 : 141,258.50 = 57,042.18 : x
  2. Step 2: Convert to fraction form
    102,362.29/141,258.50 = 57,042.18/x
  3. Step 3: Cross multiply
    102,362.29x = 141,258.50 × 57,042.18
  4. Step 4: Simplify right side
    102,362.29x = 8,057,691,792.03
  5. Step 5: Solve for x
    x = 8,057,691,792.03/102,362.29
  6. Step 6: Final answer
    x = 78,717.39

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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.