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Finding the Fourth Proportional to 296,204.13, 408,759.80 and 160,237.53

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Solution

The fourth proportional to 296,204.13, 408,759.80 and 160,237.53 is: 221,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,204.13 : 408,759.80 = 160,237.53 : x
  2. Step 2: Convert to fraction form
    296,204.13/408,759.80 = 160,237.53/x
  3. Step 3: Cross multiply
    296,204.13x = 408,759.80 × 160,237.53
  4. Step 4: Simplify right side
    296,204.13x = 65,498,659,914.11
  5. Step 5: Solve for x
    x = 65,498,659,914.11/296,204.13
  6. Step 6: Final answer
    x = 221,126.76

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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.