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Finding the Fourth Proportional to 195,951, 270,414.54 and 106,527

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Solution

The fourth proportional to 195,951, 270,414.54 and 106,527 is: 147,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,951 : 270,414.54 = 106,527 : x
  2. Step 2: Convert to fraction form
    195,951/270,414.54 = 106,527/x
  3. Step 3: Cross multiply
    195,951x = 270,414.54 × 106,527
  4. Step 4: Simplify right side
    195,951x = 28,806,449,702.58
  5. Step 5: Solve for x
    x = 28,806,449,702.58/195,951
  6. Step 6: Final answer
    x = 147,008.43

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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.