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Finding the Fourth Proportional to 188,482.96, 260,167.20 and 120,682.48

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Solution

The fourth proportional to 188,482.96, 260,167.20 and 120,682.48 is: 166,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,482.96 : 260,167.20 = 120,682.48 : x
  2. Step 2: Convert to fraction form
    188,482.96/260,167.20 = 120,682.48/x
  3. Step 3: Cross multiply
    188,482.96x = 260,167.20 × 120,682.48
  4. Step 4: Simplify right side
    188,482.96x = 31,397,622,910.66
  5. Step 5: Solve for x
    x = 31,397,622,910.66/188,482.96
  6. Step 6: Final answer
    x = 166,580.70

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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.