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Finding the Fourth Proportional to 123,461.76, 185,154.48 and 44,565.96

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Solution

The fourth proportional to 123,461.76, 185,154.48 and 44,565.96 is: 66,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,461.76 : 185,154.48 = 44,565.96 : x
  2. Step 2: Convert to fraction form
    123,461.76/185,154.48 = 44,565.96/x
  3. Step 3: Cross multiply
    123,461.76x = 185,154.48 × 44,565.96
  4. Step 4: Simplify right side
    123,461.76x = 8,251,587,149.50
  5. Step 5: Solve for x
    x = 8,251,587,149.50/123,461.76
  6. Step 6: Final answer
    x = 66,835.17

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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.