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Finding the Fourth Proportional to 267,712.90, 401,715.15 and 109,957.30

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Solution

The fourth proportional to 267,712.90, 401,715.15 and 109,957.30 is: 164,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,712.90 : 401,715.15 = 109,957.30 : x
  2. Step 2: Convert to fraction form
    267,712.90/401,715.15 = 109,957.30/x
  3. Step 3: Cross multiply
    267,712.90x = 401,715.15 × 109,957.30
  4. Step 4: Simplify right side
    267,712.90x = 44,171,513,263.10
  5. Step 5: Solve for x
    x = 44,171,513,263.10/267,712.90
  6. Step 6: Final answer
    x = 164,995.83

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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.