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Finding the Fourth Proportional to 206,730.13, 310,095.26 and 66,488.75

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Solution

The fourth proportional to 206,730.13, 310,095.26 and 66,488.75 is: 99,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,730.13 : 310,095.26 = 66,488.75 : x
  2. Step 2: Convert to fraction form
    206,730.13/310,095.26 = 66,488.75/x
  3. Step 3: Cross multiply
    206,730.13x = 310,095.26 × 66,488.75
  4. Step 4: Simplify right side
    206,730.13x = 20,617,846,218.33
  5. Step 5: Solve for x
    x = 20,617,846,218.33/206,730.13
  6. Step 6: Final answer
    x = 99,733.15

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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.