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Finding the Fourth Proportional to 123,577.62, 185,380.83 and 44,728.98

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Solution

The fourth proportional to 123,577.62, 185,380.83 and 44,728.98 is: 67,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,577.62 : 185,380.83 = 44,728.98 : x
  2. Step 2: Convert to fraction form
    123,577.62/185,380.83 = 44,728.98/x
  3. Step 3: Cross multiply
    123,577.62x = 185,380.83 × 44,728.98
  4. Step 4: Simplify right side
    123,577.62x = 8,291,895,437.45
  5. Step 5: Solve for x
    x = 8,291,895,437.45/123,577.62
  6. Step 6: Final answer
    x = 67,098.68

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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.