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Finding the Fourth Proportional to 267,461.60, 369,134.87 and 165,519.90

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Solution

The fourth proportional to 267,461.60, 369,134.87 and 165,519.90 is: 228,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,461.60 : 369,134.87 = 165,519.90 : x
  2. Step 2: Convert to fraction form
    267,461.60/369,134.87 = 165,519.90/x
  3. Step 3: Cross multiply
    267,461.60x = 369,134.87 × 165,519.90
  4. Step 4: Simplify right side
    267,461.60x = 61,099,165,941.31
  5. Step 5: Solve for x
    x = 61,099,165,941.31/267,461.60
  6. Step 6: Final answer
    x = 228,440.89

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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.