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Finding the Fourth Proportional to 267,961.12, 401,416.17 and 155,404.87

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Solution

The fourth proportional to 267,961.12, 401,416.17 and 155,404.87 is: 232,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,961.12 : 401,416.17 = 155,404.87 : x
  2. Step 2: Convert to fraction form
    267,961.12/401,416.17 = 155,404.87/x
  3. Step 3: Cross multiply
    267,961.12x = 401,416.17 × 155,404.87
  4. Step 4: Simplify right side
    267,961.12x = 62,382,027,714.75
  5. Step 5: Solve for x
    x = 62,382,027,714.75/267,961.12
  6. Step 6: Final answer
    x = 232,802.53

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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.