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Finding the Fourth Proportional to 199,702.72, 299,470.80 and 81,293.68

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Solution

The fourth proportional to 199,702.72, 299,470.80 and 81,293.68 is: 121,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,702.72 : 299,470.80 = 81,293.68 : x
  2. Step 2: Convert to fraction form
    199,702.72/299,470.80 = 81,293.68/x
  3. Step 3: Cross multiply
    199,702.72x = 299,470.80 × 81,293.68
  4. Step 4: Simplify right side
    199,702.72x = 24,345,083,384.54
  5. Step 5: Solve for x
    x = 24,345,083,384.54/199,702.72
  6. Step 6: Final answer
    x = 121,906.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.