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Finding the Fourth Proportional to 288,000.20, 397,449.82 and 157,185

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Solution

The fourth proportional to 288,000.20, 397,449.82 and 157,185 is: 216,920.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.20 : 397,449.82 = 157,185 : x
  2. Step 2: Convert to fraction form
    288,000.20/397,449.82 = 157,185/x
  3. Step 3: Cross multiply
    288,000.20x = 397,449.82 × 157,185
  4. Step 4: Simplify right side
    288,000.20x = 62,473,150,153.18
  5. Step 5: Solve for x
    x = 62,473,150,153.18/288,000.20
  6. Step 6: Final answer
    x = 216,920.51

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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.