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Finding the Fourth Proportional to 109,502.53, 164,040.76 and 71,948.50

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Solution

The fourth proportional to 109,502.53, 164,040.76 and 71,948.50 is: 107,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,502.53 : 164,040.76 = 71,948.50 : x
  2. Step 2: Convert to fraction form
    109,502.53/164,040.76 = 71,948.50/x
  3. Step 3: Cross multiply
    109,502.53x = 164,040.76 × 71,948.50
  4. Step 4: Simplify right side
    109,502.53x = 11,802,486,620.86
  5. Step 5: Solve for x
    x = 11,802,486,620.86/109,502.53
  6. Step 6: Final answer
    x = 107,782.78

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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.