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Finding the Fourth Proportional to 354,532.14, 531,805.50 and 117,876.87

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Solution

The fourth proportional to 354,532.14, 531,805.50 and 117,876.87 is: 176,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,532.14 : 531,805.50 = 117,876.87 : x
  2. Step 2: Convert to fraction form
    354,532.14/531,805.50 = 117,876.87/x
  3. Step 3: Cross multiply
    354,532.14x = 531,805.50 × 117,876.87
  4. Step 4: Simplify right side
    354,532.14x = 62,687,567,788.79
  5. Step 5: Solve for x
    x = 62,687,567,788.79/354,532.14
  6. Step 6: Final answer
    x = 176,817.73

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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.