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Finding the Fourth Proportional to 285,223.20, 427,834.80 and 145,255.20

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Solution

The fourth proportional to 285,223.20, 427,834.80 and 145,255.20 is: 217,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,223.20 : 427,834.80 = 145,255.20 : x
  2. Step 2: Convert to fraction form
    285,223.20/427,834.80 = 145,255.20/x
  3. Step 3: Cross multiply
    285,223.20x = 427,834.80 × 145,255.20
  4. Step 4: Simplify right side
    285,223.20x = 62,145,229,440.96
  5. Step 5: Solve for x
    x = 62,145,229,440.96/285,223.20
  6. Step 6: Final answer
    x = 217,882.80

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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.