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Finding the Fourth Proportional to 283,314.08, 425,017.28 and 83,654.66

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Solution

The fourth proportional to 283,314.08, 425,017.28 and 83,654.66 is: 125,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,314.08 : 425,017.28 = 83,654.66 : x
  2. Step 2: Convert to fraction form
    283,314.08/425,017.28 = 83,654.66/x
  3. Step 3: Cross multiply
    283,314.08x = 425,017.28 × 83,654.66
  4. Step 4: Simplify right side
    283,314.08x = 35,554,676,052.52
  5. Step 5: Solve for x
    x = 35,554,676,052.52/283,314.08
  6. Step 6: Final answer
    x = 125,495.62

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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.