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Finding the Fourth Proportional to 261,944.40, 392,974.20 and 84,421.20

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Solution

The fourth proportional to 261,944.40, 392,974.20 and 84,421.20 is: 126,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,944.40 : 392,974.20 = 84,421.20 : x
  2. Step 2: Convert to fraction form
    261,944.40/392,974.20 = 84,421.20/x
  3. Step 3: Cross multiply
    261,944.40x = 392,974.20 × 84,421.20
  4. Step 4: Simplify right side
    261,944.40x = 33,175,353,533.04
  5. Step 5: Solve for x
    x = 33,175,353,533.04/261,944.40
  6. Step 6: Final answer
    x = 126,650.36

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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.