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Finding the Fourth Proportional to 102,042.79, 140,809.39 and 56,715.39

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Solution

The fourth proportional to 102,042.79, 140,809.39 and 56,715.39 is: 78,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042.79 : 140,809.39 = 56,715.39 : x
  2. Step 2: Convert to fraction form
    102,042.79/140,809.39 = 56,715.39/x
  3. Step 3: Cross multiply
    102,042.79x = 140,809.39 × 56,715.39
  4. Step 4: Simplify right side
    102,042.79x = 7,986,059,327.72
  5. Step 5: Solve for x
    x = 7,986,059,327.72/102,042.79
  6. Step 6: Final answer
    x = 78,261.87

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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.