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Finding the Fourth Proportional to 205,906.30, 308,859.45 and 87,547.90

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Solution

The fourth proportional to 205,906.30, 308,859.45 and 87,547.90 is: 131,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,906.30 : 308,859.45 = 87,547.90 : x
  2. Step 2: Convert to fraction form
    205,906.30/308,859.45 = 87,547.90/x
  3. Step 3: Cross multiply
    205,906.30x = 308,859.45 × 87,547.90
  4. Step 4: Simplify right side
    205,906.30x = 27,039,996,242.66
  5. Step 5: Solve for x
    x = 27,039,996,242.66/205,906.30
  6. Step 6: Final answer
    x = 131,321.85

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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.