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Finding the Fourth Proportional to 291,414.88, 437,035.92 and 125,164

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Solution

The fourth proportional to 291,414.88, 437,035.92 and 125,164 is: 187,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,414.88 : 437,035.92 = 125,164 : x
  2. Step 2: Convert to fraction form
    291,414.88/437,035.92 = 125,164/x
  3. Step 3: Cross multiply
    291,414.88x = 437,035.92 × 125,164
  4. Step 4: Simplify right side
    291,414.88x = 54,701,163,890.88
  5. Step 5: Solve for x
    x = 54,701,163,890.88/291,414.88
  6. Step 6: Final answer
    x = 187,708.89

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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.