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Finding the Fourth Proportional to 282,367.65, 423,427.14 and 132,650.49

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Solution

The fourth proportional to 282,367.65, 423,427.14 and 132,650.49 is: 198,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,367.65 : 423,427.14 = 132,650.49 : x
  2. Step 2: Convert to fraction form
    282,367.65/423,427.14 = 132,650.49/x
  3. Step 3: Cross multiply
    282,367.65x = 423,427.14 × 132,650.49
  4. Step 4: Simplify right side
    282,367.65x = 56,167,816,937.05
  5. Step 5: Solve for x
    x = 56,167,816,937.05/282,367.65
  6. Step 6: Final answer
    x = 198,917.32

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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.