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Finding the Fourth Proportional to 107,118, 147,618.99 and 78,446.43

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Solution

The fourth proportional to 107,118, 147,618.99 and 78,446.43 is: 108,106.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,118 : 147,618.99 = 78,446.43 : x
  2. Step 2: Convert to fraction form
    107,118/147,618.99 = 78,446.43/x
  3. Step 3: Cross multiply
    107,118x = 147,618.99 × 78,446.43
  4. Step 4: Simplify right side
    107,118x = 11,580,182,765.71
  5. Step 5: Solve for x
    x = 11,580,182,765.71/107,118
  6. Step 6: Final answer
    x = 108,106.79

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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.