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Finding the Fourth Proportional to 283,808.49, 425,710.71 and 84,129.72

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Solution

The fourth proportional to 283,808.49, 425,710.71 and 84,129.72 is: 126,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,808.49 : 425,710.71 = 84,129.72 : x
  2. Step 2: Convert to fraction form
    283,808.49/425,710.71 = 84,129.72/x
  3. Step 3: Cross multiply
    283,808.49x = 425,710.71 × 84,129.72
  4. Step 4: Simplify right side
    283,808.49x = 35,814,922,833.30
  5. Step 5: Solve for x
    x = 35,814,922,833.30/283,808.49
  6. Step 6: Final answer
    x = 126,193.98

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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.