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Finding the Fourth Proportional to 231,475.20, 347,228.16 and 83,712

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Solution

The fourth proportional to 231,475.20, 347,228.16 and 83,712 is: 125,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,475.20 : 347,228.16 = 83,712 : x
  2. Step 2: Convert to fraction form
    231,475.20/347,228.16 = 83,712/x
  3. Step 3: Cross multiply
    231,475.20x = 347,228.16 × 83,712
  4. Step 4: Simplify right side
    231,475.20x = 29,067,163,729.92
  5. Step 5: Solve for x
    x = 29,067,163,729.92/231,475.20
  6. Step 6: Final answer
    x = 125,573.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.