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Finding the Fourth Proportional to 283,893.71, 425,929.39 and 84,215.14

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Solution

The fourth proportional to 283,893.71, 425,929.39 and 84,215.14 is: 126,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,893.71 : 425,929.39 = 84,215.14 : x
  2. Step 2: Convert to fraction form
    283,893.71/425,929.39 = 84,215.14/x
  3. Step 3: Cross multiply
    283,893.71x = 425,929.39 × 84,215.14
  4. Step 4: Simplify right side
    283,893.71x = 35,869,704,329.46
  5. Step 5: Solve for x
    x = 35,869,704,329.46/283,893.71
  6. Step 6: Final answer
    x = 126,349.06

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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.