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Finding the Fourth Proportional to 283,387.52, 425,146.86 and 96,399

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Solution

The fourth proportional to 283,387.52, 425,146.86 and 96,399 is: 144,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,387.52 : 425,146.86 = 96,399 : x
  2. Step 2: Convert to fraction form
    283,387.52/425,146.86 = 96,399/x
  3. Step 3: Cross multiply
    283,387.52x = 425,146.86 × 96,399
  4. Step 4: Simplify right side
    283,387.52x = 40,983,732,157.14
  5. Step 5: Solve for x
    x = 40,983,732,157.14/283,387.52
  6. Step 6: Final answer
    x = 144,620.81

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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.