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Finding the Fourth Proportional to 363,498, 545,296.68 and 126,805.20

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Solution

The fourth proportional to 363,498, 545,296.68 and 126,805.20 is: 190,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,498 : 545,296.68 = 126,805.20 : x
  2. Step 2: Convert to fraction form
    363,498/545,296.68 = 126,805.20/x
  3. Step 3: Cross multiply
    363,498x = 545,296.68 × 126,805.20
  4. Step 4: Simplify right side
    363,498x = 69,146,454,566.74
  5. Step 5: Solve for x
    x = 69,146,454,566.74/363,498
  6. Step 6: Final answer
    x = 190,225.13

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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.