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Finding the Fourth Proportional to 151,434.53, 208,977.13 and 82,524.89

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Solution

The fourth proportional to 151,434.53, 208,977.13 and 82,524.89 is: 113,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,434.53 : 208,977.13 = 82,524.89 : x
  2. Step 2: Convert to fraction form
    151,434.53/208,977.13 = 82,524.89/x
  3. Step 3: Cross multiply
    151,434.53x = 208,977.13 × 82,524.89
  4. Step 4: Simplify right side
    151,434.53x = 17,245,815,291.36
  5. Step 5: Solve for x
    x = 17,245,815,291.36/151,434.53
  6. Step 6: Final answer
    x = 113,882.98

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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.