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Finding the Fourth Proportional to 267,008, 368,472.12 and 147,776

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Solution

The fourth proportional to 267,008, 368,472.12 and 147,776 is: 203,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,008 : 368,472.12 = 147,776 : x
  2. Step 2: Convert to fraction form
    267,008/368,472.12 = 147,776/x
  3. Step 3: Cross multiply
    267,008x = 368,472.12 × 147,776
  4. Step 4: Simplify right side
    267,008x = 54,451,336,005.12
  5. Step 5: Solve for x
    x = 54,451,336,005.12/267,008
  6. Step 6: Final answer
    x = 203,931.48

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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.