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Finding the Fourth Proportional to 178,554, 267,825.96 and 66,221.16

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Solution

The fourth proportional to 178,554, 267,825.96 and 66,221.16 is: 99,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,554 : 267,825.96 = 66,221.16 : x
  2. Step 2: Convert to fraction form
    178,554/267,825.96 = 66,221.16/x
  3. Step 3: Cross multiply
    178,554x = 267,825.96 × 66,221.16
  4. Step 4: Simplify right side
    178,554x = 17,735,745,749.31
  5. Step 5: Solve for x
    x = 17,735,745,749.31/178,554
  6. Step 6: Final answer
    x = 99,329.87

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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.