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Finding the Fourth Proportional to 206,849.52, 310,015.62 and 88,382.16

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Solution

The fourth proportional to 206,849.52, 310,015.62 and 88,382.16 is: 132,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,849.52 : 310,015.62 = 88,382.16 : x
  2. Step 2: Convert to fraction form
    206,849.52/310,015.62 = 88,382.16/x
  3. Step 3: Cross multiply
    206,849.52x = 310,015.62 × 88,382.16
  4. Step 4: Simplify right side
    206,849.52x = 27,399,850,129.34
  5. Step 5: Solve for x
    x = 27,399,850,129.34/206,849.52
  6. Step 6: Final answer
    x = 132,462.72

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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.