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Finding the Fourth Proportional to 267,464.79, 369,139.23 and 165,523.11

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Solution

The fourth proportional to 267,464.79, 369,139.23 and 165,523.11 is: 228,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,464.79 : 369,139.23 = 165,523.11 : x
  2. Step 2: Convert to fraction form
    267,464.79/369,139.23 = 165,523.11/x
  3. Step 3: Cross multiply
    267,464.79x = 369,139.23 × 165,523.11
  4. Step 4: Simplify right side
    267,464.79x = 61,101,073,372.61
  5. Step 5: Solve for x
    x = 61,101,073,372.61/267,464.79
  6. Step 6: Final answer
    x = 228,445.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.