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Finding the Fourth Proportional to 195,597.90, 269,538.03 and 138,850.38

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Solution

The fourth proportional to 195,597.90, 269,538.03 and 138,850.38 is: 191,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,597.90 : 269,538.03 = 138,850.38 : x
  2. Step 2: Convert to fraction form
    195,597.90/269,538.03 = 138,850.38/x
  3. Step 3: Cross multiply
    195,597.90x = 269,538.03 × 138,850.38
  4. Step 4: Simplify right side
    195,597.90x = 37,425,457,889.95
  5. Step 5: Solve for x
    x = 37,425,457,889.95/195,597.90
  6. Step 6: Final answer
    x = 191,338.75

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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.