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Finding the Fourth Proportional to 218,180.64, 301,016.96 and 177,825.12

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Solution

The fourth proportional to 218,180.64, 301,016.96 and 177,825.12 is: 245,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,180.64 : 301,016.96 = 177,825.12 : x
  2. Step 2: Convert to fraction form
    218,180.64/301,016.96 = 177,825.12/x
  3. Step 3: Cross multiply
    218,180.64x = 301,016.96 × 177,825.12
  4. Step 4: Simplify right side
    218,180.64x = 53,528,377,034.04
  5. Step 5: Solve for x
    x = 53,528,377,034.04/218,180.64
  6. Step 6: Final answer
    x = 245,339.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.