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Finding the Fourth Proportional to 178,376.10, 267,564.15 and 73,140.90

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Solution

The fourth proportional to 178,376.10, 267,564.15 and 73,140.90 is: 109,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,376.10 : 267,564.15 = 73,140.90 : x
  2. Step 2: Convert to fraction form
    178,376.10/267,564.15 = 73,140.90/x
  3. Step 3: Cross multiply
    178,376.10x = 267,564.15 × 73,140.90
  4. Step 4: Simplify right side
    178,376.10x = 19,569,882,738.74
  5. Step 5: Solve for x
    x = 19,569,882,738.74/178,376.10
  6. Step 6: Final answer
    x = 109,711.35

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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.