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Finding the Fourth Proportional to 102,248.61, 153,404.24 and 52,363.68

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Solution

The fourth proportional to 102,248.61, 153,404.24 and 52,363.68 is: 78,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,248.61 : 153,404.24 = 52,363.68 : x
  2. Step 2: Convert to fraction form
    102,248.61/153,404.24 = 52,363.68/x
  3. Step 3: Cross multiply
    102,248.61x = 153,404.24 × 52,363.68
  4. Step 4: Simplify right side
    102,248.61x = 8,032,810,272.18
  5. Step 5: Solve for x
    x = 8,032,810,272.18/102,248.61
  6. Step 6: Final answer
    x = 78,561.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.