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Finding the Fourth Proportional to 123,507.70, 185,261.62 and 34,761.21

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Solution

The fourth proportional to 123,507.70, 185,261.62 and 34,761.21 is: 52,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,507.70 : 185,261.62 = 34,761.21 : x
  2. Step 2: Convert to fraction form
    123,507.70/185,261.62 = 34,761.21/x
  3. Step 3: Cross multiply
    123,507.70x = 185,261.62 × 34,761.21
  4. Step 4: Simplify right side
    123,507.70x = 6,439,916,977.65
  5. Step 5: Solve for x
    x = 6,439,916,977.65/123,507.70
  6. Step 6: Final answer
    x = 52,141.83

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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.