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Finding the Fourth Proportional to 195,924, 270,375.12 and 116,436

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Solution

The fourth proportional to 195,924, 270,375.12 and 116,436 is: 160,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,924 : 270,375.12 = 116,436 : x
  2. Step 2: Convert to fraction form
    195,924/270,375.12 = 116,436/x
  3. Step 3: Cross multiply
    195,924x = 270,375.12 × 116,436
  4. Step 4: Simplify right side
    195,924x = 31,481,397,472.32
  5. Step 5: Solve for x
    x = 31,481,397,472.32/195,924
  6. Step 6: Final answer
    x = 160,681.68

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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.