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Finding the Fourth Proportional to 321,870.10, 482,805.15 and 188,814.10

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Solution

The fourth proportional to 321,870.10, 482,805.15 and 188,814.10 is: 283,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,870.10 : 482,805.15 = 188,814.10 : x
  2. Step 2: Convert to fraction form
    321,870.10/482,805.15 = 188,814.10/x
  3. Step 3: Cross multiply
    321,870.10x = 482,805.15 × 188,814.10
  4. Step 4: Simplify right side
    321,870.10x = 91,160,419,872.62
  5. Step 5: Solve for x
    x = 91,160,419,872.62/321,870.10
  6. Step 6: Final answer
    x = 283,221.15

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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.