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Finding the Fourth Proportional to 102,864.90, 141,952.59 and 57,542.37

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Solution

The fourth proportional to 102,864.90, 141,952.59 and 57,542.37 is: 79,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,864.90 : 141,952.59 = 57,542.37 : x
  2. Step 2: Convert to fraction form
    102,864.90/141,952.59 = 57,542.37/x
  3. Step 3: Cross multiply
    102,864.90x = 141,952.59 × 57,542.37
  4. Step 4: Simplify right side
    102,864.90x = 8,168,288,456.24
  5. Step 5: Solve for x
    x = 8,168,288,456.24/102,864.90
  6. Step 6: Final answer
    x = 79,407.93

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