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Finding the Fourth Proportional to 138,807.38, 191,554.25 and 75,145.18

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Solution

The fourth proportional to 138,807.38, 191,554.25 and 75,145.18 is: 103,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,807.38 : 191,554.25 = 75,145.18 : x
  2. Step 2: Convert to fraction form
    138,807.38/191,554.25 = 75,145.18/x
  3. Step 3: Cross multiply
    138,807.38x = 191,554.25 × 75,145.18
  4. Step 4: Simplify right side
    138,807.38x = 14,394,379,109.65
  5. Step 5: Solve for x
    x = 14,394,379,109.65/138,807.38
  6. Step 6: Final answer
    x = 103,700.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.