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Finding the Fourth Proportional to 267,733.68, 369,470.30 and 145,225.76

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Solution

The fourth proportional to 267,733.68, 369,470.30 and 145,225.76 is: 200,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,733.68 : 369,470.30 = 145,225.76 : x
  2. Step 2: Convert to fraction form
    267,733.68/369,470.30 = 145,225.76/x
  3. Step 3: Cross multiply
    267,733.68x = 369,470.30 × 145,225.76
  4. Step 4: Simplify right side
    267,733.68x = 53,656,603,265.24
  5. Step 5: Solve for x
    x = 53,656,603,265.24/267,733.68
  6. Step 6: Final answer
    x = 200,410.36

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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.