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Finding the Fourth Proportional to 267,684.72, 402,149.16 and 156,954.48

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Solution

The fourth proportional to 267,684.72, 402,149.16 and 156,954.48 is: 235,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,684.72 : 402,149.16 = 156,954.48 : x
  2. Step 2: Convert to fraction form
    267,684.72/402,149.16 = 156,954.48/x
  3. Step 3: Cross multiply
    267,684.72x = 402,149.16 × 156,954.48
  4. Step 4: Simplify right side
    267,684.72x = 63,119,112,290.24
  5. Step 5: Solve for x
    x = 63,119,112,290.24/267,684.72
  6. Step 6: Final answer
    x = 235,796.47

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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.