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Finding the Fourth Proportional to 149,142, 205,819.76 and 81,162.66

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Solution

The fourth proportional to 149,142, 205,819.76 and 81,162.66 is: 112,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142 : 205,819.76 = 81,162.66 : x
  2. Step 2: Convert to fraction form
    149,142/205,819.76 = 81,162.66/x
  3. Step 3: Cross multiply
    149,142x = 205,819.76 × 81,162.66
  4. Step 4: Simplify right side
    149,142x = 16,704,879,202.16
  5. Step 5: Solve for x
    x = 16,704,879,202.16/149,142
  6. Step 6: Final answer
    x = 112,006.54

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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.