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Finding the Fourth Proportional to 283,234.60, 424,871.10 and 96,260.20

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Solution

The fourth proportional to 283,234.60, 424,871.10 and 96,260.20 is: 144,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,234.60 : 424,871.10 = 96,260.20 : x
  2. Step 2: Convert to fraction form
    283,234.60/424,871.10 = 96,260.20/x
  3. Step 3: Cross multiply
    283,234.60x = 424,871.10 × 96,260.20
  4. Step 4: Simplify right side
    283,234.60x = 40,898,177,060.22
  5. Step 5: Solve for x
    x = 40,898,177,060.22/283,234.60
  6. Step 6: Final answer
    x = 144,396.83

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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.