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Finding the Fourth Proportional to 178,347.19, 267,443.01 and 67,461.43

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Solution

The fourth proportional to 178,347.19, 267,443.01 and 67,461.43 is: 101,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,347.19 : 267,443.01 = 67,461.43 : x
  2. Step 2: Convert to fraction form
    178,347.19/267,443.01 = 67,461.43/x
  3. Step 3: Cross multiply
    178,347.19x = 267,443.01 × 67,461.43
  4. Step 4: Simplify right side
    178,347.19x = 18,042,087,898.10
  5. Step 5: Solve for x
    x = 18,042,087,898.10/178,347.19
  6. Step 6: Final answer
    x = 101,162.73

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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.