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Finding the Fourth Proportional to 321,830.80, 482,902.99 and 132,348.10

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Solution

The fourth proportional to 321,830.80, 482,902.99 and 132,348.10 is: 198,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,830.80 : 482,902.99 = 132,348.10 : x
  2. Step 2: Convert to fraction form
    321,830.80/482,902.99 = 132,348.10/x
  3. Step 3: Cross multiply
    321,830.80x = 482,902.99 × 132,348.10
  4. Step 4: Simplify right side
    321,830.80x = 63,911,293,210.82
  5. Step 5: Solve for x
    x = 63,911,293,210.82/321,830.80
  6. Step 6: Final answer
    x = 198,586.63

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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.