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Finding the Fourth Proportional to 102,329.88, 141,177.78 and 62,014.56

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Solution

The fourth proportional to 102,329.88, 141,177.78 and 62,014.56 is: 85,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,329.88 : 141,177.78 = 62,014.56 : x
  2. Step 2: Convert to fraction form
    102,329.88/141,177.78 = 62,014.56/x
  3. Step 3: Cross multiply
    102,329.88x = 141,177.78 × 62,014.56
  4. Step 4: Simplify right side
    102,329.88x = 8,755,077,908.48
  5. Step 5: Solve for x
    x = 8,755,077,908.48/102,329.88
  6. Step 6: Final answer
    x = 85,557.39

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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.