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Finding the Fourth Proportional to 113,195.88, 169,784.03 and 38,314.42

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Solution

The fourth proportional to 113,195.88, 169,784.03 and 38,314.42 is: 57,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,195.88 : 169,784.03 = 38,314.42 : x
  2. Step 2: Convert to fraction form
    113,195.88/169,784.03 = 38,314.42/x
  3. Step 3: Cross multiply
    113,195.88x = 169,784.03 × 38,314.42
  4. Step 4: Simplify right side
    113,195.88x = 6,505,176,306.04
  5. Step 5: Solve for x
    x = 6,505,176,306.04/113,195.88
  6. Step 6: Final answer
    x = 57,468.31

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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.