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Finding the Fourth Proportional to 261,063.40, 391,403.10 and 83,467.88

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Solution

The fourth proportional to 261,063.40, 391,403.10 and 83,467.88 is: 125,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,063.40 : 391,403.10 = 83,467.88 : x
  2. Step 2: Convert to fraction form
    261,063.40/391,403.10 = 83,467.88/x
  3. Step 3: Cross multiply
    261,063.40x = 391,403.10 × 83,467.88
  4. Step 4: Simplify right side
    261,063.40x = 32,669,586,982.43
  5. Step 5: Solve for x
    x = 32,669,586,982.43/261,063.40
  6. Step 6: Final answer
    x = 125,140.43

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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.