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Finding the Fourth Proportional to 102,561.88, 141,535.38 and 56,621.52

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Solution

The fourth proportional to 102,561.88, 141,535.38 and 56,621.52 is: 78,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,561.88 : 141,535.38 = 56,621.52 : x
  2. Step 2: Convert to fraction form
    102,561.88/141,535.38 = 56,621.52/x
  3. Step 3: Cross multiply
    102,561.88x = 141,535.38 × 56,621.52
  4. Step 4: Simplify right side
    102,561.88x = 8,013,948,349.38
  5. Step 5: Solve for x
    x = 8,013,948,349.38/102,561.88
  6. Step 6: Final answer
    x = 78,137.69

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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.