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Finding the Fourth Proportional to 178,344.16, 267,516.74 and 45,224.51

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Solution

The fourth proportional to 178,344.16, 267,516.74 and 45,224.51 is: 67,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,344.16 : 267,516.74 = 45,224.51 : x
  2. Step 2: Convert to fraction form
    178,344.16/267,516.74 = 45,224.51/x
  3. Step 3: Cross multiply
    178,344.16x = 267,516.74 × 45,224.51
  4. Step 4: Simplify right side
    178,344.16x = 12,098,312,258.78
  5. Step 5: Solve for x
    x = 12,098,312,258.78/178,344.16
  6. Step 6: Final answer
    x = 67,836.89

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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.