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Finding the Fourth Proportional to 206,853.52, 310,021.62 and 88,386.16

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Solution

The fourth proportional to 206,853.52, 310,021.62 and 88,386.16 is: 132,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,853.52 : 310,021.62 = 88,386.16 : x
  2. Step 2: Convert to fraction form
    206,853.52/310,021.62 = 88,386.16/x
  3. Step 3: Cross multiply
    206,853.52x = 310,021.62 × 88,386.16
  4. Step 4: Simplify right side
    206,853.52x = 27,401,620,508.78
  5. Step 5: Solve for x
    x = 27,401,620,508.78/206,853.52
  6. Step 6: Final answer
    x = 132,468.72

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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.