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Finding the Fourth Proportional to 288,112.32, 397,614.96 and 160,812.72

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Solution

The fourth proportional to 288,112.32, 397,614.96 and 160,812.72 is: 221,932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,112.32 : 397,614.96 = 160,812.72 : x
  2. Step 2: Convert to fraction form
    288,112.32/397,614.96 = 160,812.72/x
  3. Step 3: Cross multiply
    288,112.32x = 397,614.96 × 160,812.72
  4. Step 4: Simplify right side
    288,112.32x = 63,941,543,230.29
  5. Step 5: Solve for x
    x = 63,941,543,230.29/288,112.32
  6. Step 6: Final answer
    x = 221,932.69

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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.