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Finding the Fourth Proportional to 233,182.88, 321,817.20 and 142,591.76

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Solution

The fourth proportional to 233,182.88, 321,817.20 and 142,591.76 is: 196,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,182.88 : 321,817.20 = 142,591.76 : x
  2. Step 2: Convert to fraction form
    233,182.88/321,817.20 = 142,591.76/x
  3. Step 3: Cross multiply
    233,182.88x = 321,817.20 × 142,591.76
  4. Step 4: Simplify right side
    233,182.88x = 45,888,480,946.27
  5. Step 5: Solve for x
    x = 45,888,480,946.27/233,182.88
  6. Step 6: Final answer
    x = 196,791.81

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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.