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Finding the Fourth Proportional to 204,494.93, 282,129.97 and 118,406.92

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Solution

The fourth proportional to 204,494.93, 282,129.97 and 118,406.92 is: 163,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,494.93 : 282,129.97 = 118,406.92 : x
  2. Step 2: Convert to fraction form
    204,494.93/282,129.97 = 118,406.92/x
  3. Step 3: Cross multiply
    204,494.93x = 282,129.97 × 118,406.92
  4. Step 4: Simplify right side
    204,494.93x = 33,406,140,787.39
  5. Step 5: Solve for x
    x = 33,406,140,787.39/204,494.93
  6. Step 6: Final answer
    x = 163,359.26

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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.