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Finding the Fourth Proportional to 321,948.20, 482,900.70 and 85,285.80

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Solution

The fourth proportional to 321,948.20, 482,900.70 and 85,285.80 is: 127,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,948.20 : 482,900.70 = 85,285.80 : x
  2. Step 2: Convert to fraction form
    321,948.20/482,900.70 = 85,285.80/x
  3. Step 3: Cross multiply
    321,948.20x = 482,900.70 × 85,285.80
  4. Step 4: Simplify right side
    321,948.20x = 41,184,572,520.06
  5. Step 5: Solve for x
    x = 41,184,572,520.06/321,948.20
  6. Step 6: Final answer
    x = 127,922.98

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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.