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Finding the Fourth Proportional to 283,813.86, 425,722.47 and 84,135.93

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Solution

The fourth proportional to 283,813.86, 425,722.47 and 84,135.93 is: 126,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,813.86 : 425,722.47 = 84,135.93 : x
  2. Step 2: Convert to fraction form
    283,813.86/425,722.47 = 84,135.93/x
  3. Step 3: Cross multiply
    283,813.86x = 425,722.47 × 84,135.93
  4. Step 4: Simplify right side
    283,813.86x = 35,818,555,935.35
  5. Step 5: Solve for x
    x = 35,818,555,935.35/283,813.86
  6. Step 6: Final answer
    x = 126,204.39

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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.