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Finding the Fourth Proportional to 197,410.80, 272,426.90 and 106,766.76

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Solution

The fourth proportional to 197,410.80, 272,426.90 and 106,766.76 is: 147,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,410.80 : 272,426.90 = 106,766.76 : x
  2. Step 2: Convert to fraction form
    197,410.80/272,426.90 = 106,766.76/x
  3. Step 3: Cross multiply
    197,410.80x = 272,426.90 × 106,766.76
  4. Step 4: Simplify right side
    197,410.80x = 29,086,138,130.91
  5. Step 5: Solve for x
    x = 29,086,138,130.91/197,410.80
  6. Step 6: Final answer
    x = 147,338.13

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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.