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Finding the Fourth Proportional to 283,426.40, 425,185.44 and 83,766.80

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Solution

The fourth proportional to 283,426.40, 425,185.44 and 83,766.80 is: 125,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,426.40 : 425,185.44 = 83,766.80 : x
  2. Step 2: Convert to fraction form
    283,426.40/425,185.44 = 83,766.80/x
  3. Step 3: Cross multiply
    283,426.40x = 425,185.44 × 83,766.80
  4. Step 4: Simplify right side
    283,426.40x = 35,616,423,715.39
  5. Step 5: Solve for x
    x = 35,616,423,715.39/283,426.40
  6. Step 6: Final answer
    x = 125,663.75

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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.