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Finding the Fourth Proportional to 107,924.80, 161,741.40 and 72,284.80

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Solution

The fourth proportional to 107,924.80, 161,741.40 and 72,284.80 is: 108,329.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,924.80 : 161,741.40 = 72,284.80 : x
  2. Step 2: Convert to fraction form
    107,924.80/161,741.40 = 72,284.80/x
  3. Step 3: Cross multiply
    107,924.80x = 161,741.40 × 72,284.80
  4. Step 4: Simplify right side
    107,924.80x = 11,691,444,750.72
  5. Step 5: Solve for x
    x = 11,691,444,750.72/107,924.80
  6. Step 6: Final answer
    x = 108,329.55

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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.