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Finding the Fourth Proportional to 138,077.38, 190,524.56 and 77,644.42

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Solution

The fourth proportional to 138,077.38, 190,524.56 and 77,644.42 is: 107,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,077.38 : 190,524.56 = 77,644.42 : x
  2. Step 2: Convert to fraction form
    138,077.38/190,524.56 = 77,644.42/x
  3. Step 3: Cross multiply
    138,077.38x = 190,524.56 × 77,644.42
  4. Step 4: Simplify right side
    138,077.38x = 14,793,169,164.12
  5. Step 5: Solve for x
    x = 14,793,169,164.12/138,077.38
  6. Step 6: Final answer
    x = 107,136.80

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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.