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Finding the Fourth Proportional to 205,782.60, 308,732.34 and 65,552.04

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Solution

The fourth proportional to 205,782.60, 308,732.34 and 65,552.04 is: 98,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,782.60 : 308,732.34 = 65,552.04 : x
  2. Step 2: Convert to fraction form
    205,782.60/308,732.34 = 65,552.04/x
  3. Step 3: Cross multiply
    205,782.60x = 308,732.34 × 65,552.04
  4. Step 4: Simplify right side
    205,782.60x = 20,238,034,700.97
  5. Step 5: Solve for x
    x = 20,238,034,700.97/205,782.60
  6. Step 6: Final answer
    x = 98,346.68

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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.