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Finding the Fourth Proportional to 180,565.66, 269,662.76 and 145,080.88

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Solution

The fourth proportional to 180,565.66, 269,662.76 and 145,080.88 is: 216,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,565.66 : 269,662.76 = 145,080.88 : x
  2. Step 2: Convert to fraction form
    180,565.66/269,662.76 = 145,080.88/x
  3. Step 3: Cross multiply
    180,565.66x = 269,662.76 × 145,080.88
  4. Step 4: Simplify right side
    180,565.66x = 39,122,910,524.03
  5. Step 5: Solve for x
    x = 39,122,910,524.03/180,565.66
  6. Step 6: Final answer
    x = 216,668.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.