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Finding the Fourth Proportional to 217,036.60, 325,166.10 and 185,932.60

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Solution

The fourth proportional to 217,036.60, 325,166.10 and 185,932.60 is: 278,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,036.60 : 325,166.10 = 185,932.60 : x
  2. Step 2: Convert to fraction form
    217,036.60/325,166.10 = 185,932.60/x
  3. Step 3: Cross multiply
    217,036.60x = 325,166.10 × 185,932.60
  4. Step 4: Simplify right side
    217,036.60x = 60,458,978,404.86
  5. Step 5: Solve for x
    x = 60,458,978,404.86/217,036.60
  6. Step 6: Final answer
    x = 278,565.82

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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.