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Finding the Fourth Proportional to 149,217.48, 205,855.38 and 85,540.68

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Solution

The fourth proportional to 149,217.48, 205,855.38 and 85,540.68 is: 118,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,217.48 : 205,855.38 = 85,540.68 : x
  2. Step 2: Convert to fraction form
    149,217.48/205,855.38 = 85,540.68/x
  3. Step 3: Cross multiply
    149,217.48x = 205,855.38 × 85,540.68
  4. Step 4: Simplify right side
    149,217.48x = 17,609,009,186.86
  5. Step 5: Solve for x
    x = 17,609,009,186.86/149,217.48
  6. Step 6: Final answer
    x = 118,009.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.