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Finding the Fourth Proportional to 178,568.74, 267,854.73 and 45,449.16

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Solution

The fourth proportional to 178,568.74, 267,854.73 and 45,449.16 is: 68,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,568.74 : 267,854.73 = 45,449.16 : x
  2. Step 2: Convert to fraction form
    178,568.74/267,854.73 = 45,449.16/x
  3. Step 3: Cross multiply
    178,568.74x = 267,854.73 × 45,449.16
  4. Step 4: Simplify right side
    178,568.74x = 12,173,772,480.53
  5. Step 5: Solve for x
    x = 12,173,772,480.53/178,568.74
  6. Step 6: Final answer
    x = 68,174.15

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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.