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Finding the Fourth Proportional to 288,001.20, 397,451.20 and 157,186

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Solution

The fourth proportional to 288,001.20, 397,451.20 and 157,186 is: 216,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.20 : 397,451.20 = 157,186 : x
  2. Step 2: Convert to fraction form
    288,001.20/397,451.20 = 157,186/x
  3. Step 3: Cross multiply
    288,001.20x = 397,451.20 × 157,186
  4. Step 4: Simplify right side
    288,001.20x = 62,473,764,323.20
  5. Step 5: Solve for x
    x = 62,473,764,323.20/288,001.20
  6. Step 6: Final answer
    x = 216,921.89

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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.