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Finding the Fourth Proportional to 321,930.20, 482,892.90 and 97,290.20

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Solution

The fourth proportional to 321,930.20, 482,892.90 and 97,290.20 is: 145,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,930.20 : 482,892.90 = 97,290.20 : x
  2. Step 2: Convert to fraction form
    321,930.20/482,892.90 = 97,290.20/x
  3. Step 3: Cross multiply
    321,930.20x = 482,892.90 × 97,290.20
  4. Step 4: Simplify right side
    321,930.20x = 46,980,746,819.58
  5. Step 5: Solve for x
    x = 46,980,746,819.58/321,930.20
  6. Step 6: Final answer
    x = 145,934.57

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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.