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Finding the Fourth Proportional to 282,139.88, 423,234.45 and 71,777.81

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Solution

The fourth proportional to 282,139.88, 423,234.45 and 71,777.81 is: 107,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,139.88 : 423,234.45 = 71,777.81 : x
  2. Step 2: Convert to fraction form
    282,139.88/423,234.45 = 71,777.81/x
  3. Step 3: Cross multiply
    282,139.88x = 423,234.45 × 71,777.81
  4. Step 4: Simplify right side
    282,139.88x = 30,378,842,995.64
  5. Step 5: Solve for x
    x = 30,378,842,995.64/282,139.88
  6. Step 6: Final answer
    x = 107,672.99

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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.