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Finding the Fourth Proportional to 102,666.80, 141,677.26 and 57,343.46

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Solution

The fourth proportional to 102,666.80, 141,677.26 and 57,343.46 is: 79,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.80 : 141,677.26 = 57,343.46 : x
  2. Step 2: Convert to fraction form
    102,666.80/141,677.26 = 57,343.46/x
  3. Step 3: Cross multiply
    102,666.80x = 141,677.26 × 57,343.46
  4. Step 4: Simplify right side
    102,666.80x = 8,124,263,439.97
  5. Step 5: Solve for x
    x = 8,124,263,439.97/102,666.80
  6. Step 6: Final answer
    x = 79,132.33

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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.