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Finding the Fourth Proportional to 204,702.69, 282,490.83 and 118,712.65

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Solution

The fourth proportional to 204,702.69, 282,490.83 and 118,712.65 is: 163,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,702.69 : 282,490.83 = 118,712.65 : x
  2. Step 2: Convert to fraction form
    204,702.69/282,490.83 = 118,712.65/x
  3. Step 3: Cross multiply
    204,702.69x = 282,490.83 × 118,712.65
  4. Step 4: Simplify right side
    204,702.69x = 33,535,235,439.44
  5. Step 5: Solve for x
    x = 33,535,235,439.44/204,702.69
  6. Step 6: Final answer
    x = 163,824.11

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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.