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Finding the Fourth Proportional to 178,113.55, 267,148.28 and 65,791.28

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Solution

The fourth proportional to 178,113.55, 267,148.28 and 65,791.28 is: 98,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,113.55 : 267,148.28 = 65,791.28 : x
  2. Step 2: Convert to fraction form
    178,113.55/267,148.28 = 65,791.28/x
  3. Step 3: Cross multiply
    178,113.55x = 267,148.28 × 65,791.28
  4. Step 4: Simplify right side
    178,113.55x = 17,576,027,291.00
  5. Step 5: Solve for x
    x = 17,576,027,291.00/178,113.55
  6. Step 6: Final answer
    x = 98,678.78

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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.