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Finding the Fourth Proportional to 124,569, 186,855.12 and 41,463

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Solution

The fourth proportional to 124,569, 186,855.12 and 41,463 is: 62,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,569 : 186,855.12 = 41,463 : x
  2. Step 2: Convert to fraction form
    124,569/186,855.12 = 41,463/x
  3. Step 3: Cross multiply
    124,569x = 186,855.12 × 41,463
  4. Step 4: Simplify right side
    124,569x = 7,747,573,840.56
  5. Step 5: Solve for x
    x = 7,747,573,840.56/124,569
  6. Step 6: Final answer
    x = 62,195.04

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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.