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Finding the Fourth Proportional to 138,197.89, 206,964.65 and 78,853.65

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Solution

The fourth proportional to 138,197.89, 206,964.65 and 78,853.65 is: 118,090.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197.89 : 206,964.65 = 78,853.65 : x
  2. Step 2: Convert to fraction form
    138,197.89/206,964.65 = 78,853.65/x
  3. Step 3: Cross multiply
    138,197.89x = 206,964.65 × 78,853.65
  4. Step 4: Simplify right side
    138,197.89x = 16,319,917,494.49
  5. Step 5: Solve for x
    x = 16,319,917,494.49/138,197.89
  6. Step 6: Final answer
    x = 118,090.93

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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.