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Finding the Fourth Proportional to 123,575.64, 185,235.03 and 52,543.86

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Solution

The fourth proportional to 123,575.64, 185,235.03 and 52,543.86 is: 78,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,575.64 : 185,235.03 = 52,543.86 : x
  2. Step 2: Convert to fraction form
    123,575.64/185,235.03 = 52,543.86/x
  3. Step 3: Cross multiply
    123,575.64x = 185,235.03 × 52,543.86
  4. Step 4: Simplify right side
    123,575.64x = 9,732,962,788.78
  5. Step 5: Solve for x
    x = 9,732,962,788.78/123,575.64
  6. Step 6: Final answer
    x = 78,761.18

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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.