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Finding the Fourth Proportional to 267,456.80, 369,128.22 and 165,515.10

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Solution

The fourth proportional to 267,456.80, 369,128.22 and 165,515.10 is: 228,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,456.80 : 369,128.22 = 165,515.10 : x
  2. Step 2: Convert to fraction form
    267,456.80/369,128.22 = 165,515.10/x
  3. Step 3: Cross multiply
    267,456.80x = 369,128.22 × 165,515.10
  4. Step 4: Simplify right side
    267,456.80x = 61,096,294,246.12
  5. Step 5: Solve for x
    x = 61,096,294,246.12/267,456.80
  6. Step 6: Final answer
    x = 228,434.25

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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.