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Finding the Fourth Proportional to 206,026.92, 308,648.16 and 117,341.64

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Solution

The fourth proportional to 206,026.92, 308,648.16 and 117,341.64 is: 175,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,026.92 : 308,648.16 = 117,341.64 : x
  2. Step 2: Convert to fraction form
    206,026.92/308,648.16 = 117,341.64/x
  3. Step 3: Cross multiply
    206,026.92x = 308,648.16 × 117,341.64
  4. Step 4: Simplify right side
    206,026.92x = 36,217,281,277.38
  5. Step 5: Solve for x
    x = 36,217,281,277.38/206,026.92
  6. Step 6: Final answer
    x = 175,789.07

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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.