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Finding the Fourth Proportional to 457,661.16, 686,491.92 and 125,237.16

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Solution

The fourth proportional to 457,661.16, 686,491.92 and 125,237.16 is: 187,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,661.16 : 686,491.92 = 125,237.16 : x
  2. Step 2: Convert to fraction form
    457,661.16/686,491.92 = 125,237.16/x
  3. Step 3: Cross multiply
    457,661.16x = 686,491.92 × 125,237.16
  4. Step 4: Simplify right side
    457,661.16x = 85,974,298,423.75
  5. Step 5: Solve for x
    x = 85,974,298,423.75/457,661.16
  6. Step 6: Final answer
    x = 187,855.79

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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.