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Finding the Fourth Proportional to 282,112.80, 423,167.28 and 71,748

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Solution

The fourth proportional to 282,112.80, 423,167.28 and 71,748 is: 107,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,112.80 : 423,167.28 = 71,748 : x
  2. Step 2: Convert to fraction form
    282,112.80/423,167.28 = 71,748/x
  3. Step 3: Cross multiply
    282,112.80x = 423,167.28 × 71,748
  4. Step 4: Simplify right side
    282,112.80x = 30,361,406,005.44
  5. Step 5: Solve for x
    x = 30,361,406,005.44/282,112.80
  6. Step 6: Final answer
    x = 107,621.51

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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.