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Finding the Fourth Proportional to 178,641.30, 267,963.39 and 64,869.54

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Solution

The fourth proportional to 178,641.30, 267,963.39 and 64,869.54 is: 97,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,641.30 : 267,963.39 = 64,869.54 : x
  2. Step 2: Convert to fraction form
    178,641.30/267,963.39 = 64,869.54/x
  3. Step 3: Cross multiply
    178,641.30x = 267,963.39 × 64,869.54
  4. Step 4: Simplify right side
    178,641.30x = 17,382,661,846.14
  5. Step 5: Solve for x
    x = 17,382,661,846.14/178,641.30
  6. Step 6: Final answer
    x = 97,304.83

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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.