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Finding the Fourth Proportional to 205,435.92, 283,538.76 and 132,928.08

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Solution

The fourth proportional to 205,435.92, 283,538.76 and 132,928.08 is: 183,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,435.92 : 283,538.76 = 132,928.08 : x
  2. Step 2: Convert to fraction form
    205,435.92/283,538.76 = 132,928.08/x
  3. Step 3: Cross multiply
    205,435.92x = 283,538.76 × 132,928.08
  4. Step 4: Simplify right side
    205,435.92x = 37,690,262,972.38
  5. Step 5: Solve for x
    x = 37,690,262,972.38/205,435.92
  6. Step 6: Final answer
    x = 183,464.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.