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Finding the Fourth Proportional to 283,363.68, 424,977.36 and 83,630.16

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Solution

The fourth proportional to 283,363.68, 424,977.36 and 83,630.16 is: 125,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,363.68 : 424,977.36 = 83,630.16 : x
  2. Step 2: Convert to fraction form
    283,363.68/424,977.36 = 83,630.16/x
  3. Step 3: Cross multiply
    283,363.68x = 424,977.36 × 83,630.16
  4. Step 4: Simplify right side
    283,363.68x = 35,540,924,613.18
  5. Step 5: Solve for x
    x = 35,540,924,613.18/283,363.68
  6. Step 6: Final answer
    x = 125,425.12

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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.