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Finding the Fourth Proportional to 283,811.96, 425,594.58 and 81,363.48

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Solution

The fourth proportional to 283,811.96, 425,594.58 and 81,363.48 is: 122,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,811.96 : 425,594.58 = 81,363.48 : x
  2. Step 2: Convert to fraction form
    283,811.96/425,594.58 = 81,363.48/x
  3. Step 3: Cross multiply
    283,811.96x = 425,594.58 × 81,363.48
  4. Step 4: Simplify right side
    283,811.96x = 34,627,856,097.94
  5. Step 5: Solve for x
    x = 34,627,856,097.94/283,811.96
  6. Step 6: Final answer
    x = 122,009.86

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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.