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Finding the Fourth Proportional to 178,165.04, 267,260.04 and 71,549

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Solution

The fourth proportional to 178,165.04, 267,260.04 and 71,549 is: 107,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,165.04 : 267,260.04 = 71,549 : x
  2. Step 2: Convert to fraction form
    178,165.04/267,260.04 = 71,549/x
  3. Step 3: Cross multiply
    178,165.04x = 267,260.04 × 71,549
  4. Step 4: Simplify right side
    178,165.04x = 19,122,188,601.96
  5. Step 5: Solve for x
    x = 19,122,188,601.96/178,165.04
  6. Step 6: Final answer
    x = 107,328.51

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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.