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Finding the Fourth Proportional to 123,435.88, 185,154.14 and 29,941.48

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Solution

The fourth proportional to 123,435.88, 185,154.14 and 29,941.48 is: 44,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,435.88 : 185,154.14 = 29,941.48 : x
  2. Step 2: Convert to fraction form
    123,435.88/185,154.14 = 29,941.48/x
  3. Step 3: Cross multiply
    123,435.88x = 185,154.14 × 29,941.48
  4. Step 4: Simplify right side
    123,435.88x = 5,543,788,979.73
  5. Step 5: Solve for x
    x = 5,543,788,979.73/123,435.88
  6. Step 6: Final answer
    x = 44,912.30

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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.