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Finding the Fourth Proportional to 194,988.92, 269,086.49 and 114,417.78

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Solution

The fourth proportional to 194,988.92, 269,086.49 and 114,417.78 is: 157,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,988.92 : 269,086.49 = 114,417.78 : x
  2. Step 2: Convert to fraction form
    194,988.92/269,086.49 = 114,417.78/x
  3. Step 3: Cross multiply
    194,988.92x = 269,086.49 × 114,417.78
  4. Step 4: Simplify right side
    194,988.92x = 30,788,279,175.31
  5. Step 5: Solve for x
    x = 30,788,279,175.31/194,988.92
  6. Step 6: Final answer
    x = 157,897.58

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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.