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Finding the Fourth Proportional to 282,131.17, 423,199.49 and 71,769.11

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Solution

The fourth proportional to 282,131.17, 423,199.49 and 71,769.11 is: 107,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,131.17 : 423,199.49 = 71,769.11 : x
  2. Step 2: Convert to fraction form
    282,131.17/423,199.49 = 71,769.11/x
  3. Step 3: Cross multiply
    282,131.17x = 423,199.49 × 71,769.11
  4. Step 4: Simplify right side
    282,131.17x = 30,372,648,274.91
  5. Step 5: Solve for x
    x = 30,372,648,274.91/282,131.17
  6. Step 6: Final answer
    x = 107,654.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.