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Finding the Fourth Proportional to 204,645.38, 282,399.64 and 112,761.81

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Solution

The fourth proportional to 204,645.38, 282,399.64 and 112,761.81 is: 155,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,645.38 : 282,399.64 = 112,761.81 : x
  2. Step 2: Convert to fraction form
    204,645.38/282,399.64 = 112,761.81/x
  3. Step 3: Cross multiply
    204,645.38x = 282,399.64 × 112,761.81
  4. Step 4: Simplify right side
    204,645.38x = 31,843,894,267.84
  5. Step 5: Solve for x
    x = 31,843,894,267.84/204,645.38
  6. Step 6: Final answer
    x = 155,605.25

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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.