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Finding the Fourth Proportional to 283,432.56, 425,001.20 and 105,793.48

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Solution

The fourth proportional to 283,432.56, 425,001.20 and 105,793.48 is: 158,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,432.56 : 425,001.20 = 105,793.48 : x
  2. Step 2: Convert to fraction form
    283,432.56/425,001.20 = 105,793.48/x
  3. Step 3: Cross multiply
    283,432.56x = 425,001.20 × 105,793.48
  4. Step 4: Simplify right side
    283,432.56x = 44,962,355,952.18
  5. Step 5: Solve for x
    x = 44,962,355,952.18/283,432.56
  6. Step 6: Final answer
    x = 158,635.11

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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.