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Finding the Fourth Proportional to 107,139.59, 160,739.48 and 39,670.61

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Solution

The fourth proportional to 107,139.59, 160,739.48 and 39,670.61 is: 59,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,139.59 : 160,739.48 = 39,670.61 : x
  2. Step 2: Convert to fraction form
    107,139.59/160,739.48 = 39,670.61/x
  3. Step 3: Cross multiply
    107,139.59x = 160,739.48 × 39,670.61
  4. Step 4: Simplify right side
    107,139.59x = 6,376,633,222.68
  5. Step 5: Solve for x
    x = 6,376,633,222.68/107,139.59
  6. Step 6: Final answer
    x = 59,517.06

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Why These Related Problems?

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