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Finding the Fourth Proportional to 195,109, 292,656.97 and 82,716.91

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Solution

The fourth proportional to 195,109, 292,656.97 and 82,716.91 is: 124,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,109 : 292,656.97 = 82,716.91 : x
  2. Step 2: Convert to fraction form
    195,109/292,656.97 = 82,716.91/x
  3. Step 3: Cross multiply
    195,109x = 292,656.97 × 82,716.91
  4. Step 4: Simplify right side
    195,109x = 24,207,680,248.36
  5. Step 5: Solve for x
    x = 24,207,680,248.36/195,109
  6. Step 6: Final answer
    x = 124,072.60

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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.