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Finding the Fourth Proportional to 151,225.38, 208,691.64 and 82,314.36

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Solution

The fourth proportional to 151,225.38, 208,691.64 and 82,314.36 is: 113,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,225.38 : 208,691.64 = 82,314.36 : x
  2. Step 2: Convert to fraction form
    151,225.38/208,691.64 = 82,314.36/x
  3. Step 3: Cross multiply
    151,225.38x = 208,691.64 × 82,314.36
  4. Step 4: Simplify right side
    151,225.38x = 17,178,318,783.95
  5. Step 5: Solve for x
    x = 17,178,318,783.95/151,225.38
  6. Step 6: Final answer
    x = 113,594.15

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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.