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Finding the Fourth Proportional to 102,663.50, 141,674.14 and 57,342.13

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Solution

The fourth proportional to 102,663.50, 141,674.14 and 57,342.13 is: 79,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,663.50 : 141,674.14 = 57,342.13 : x
  2. Step 2: Convert to fraction form
    102,663.50/141,674.14 = 57,342.13/x
  3. Step 3: Cross multiply
    102,663.50x = 141,674.14 × 57,342.13
  4. Step 4: Simplify right side
    102,663.50x = 8,123,896,509.74
  5. Step 5: Solve for x
    x = 8,123,896,509.74/102,663.50
  6. Step 6: Final answer
    x = 79,131.30

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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.