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Finding the Fourth Proportional to 267,640.25, 401,459.94 and 147,691.40

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Solution

The fourth proportional to 267,640.25, 401,459.94 and 147,691.40 is: 221,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,640.25 : 401,459.94 = 147,691.40 : x
  2. Step 2: Convert to fraction form
    267,640.25/401,459.94 = 147,691.40/x
  3. Step 3: Cross multiply
    267,640.25x = 401,459.94 × 147,691.40
  4. Step 4: Simplify right side
    267,640.25x = 59,292,178,575.22
  5. Step 5: Solve for x
    x = 59,292,178,575.22/267,640.25
  6. Step 6: Final answer
    x = 221,536.86

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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.