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Finding the Fourth Proportional to 195,772.50, 270,143.12 and 115,182.30

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Solution

The fourth proportional to 195,772.50, 270,143.12 and 115,182.30 is: 158,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,772.50 : 270,143.12 = 115,182.30 : x
  2. Step 2: Convert to fraction form
    195,772.50/270,143.12 = 115,182.30/x
  3. Step 3: Cross multiply
    195,772.50x = 270,143.12 × 115,182.30
  4. Step 4: Simplify right side
    195,772.50x = 31,115,705,890.78
  5. Step 5: Solve for x
    x = 31,115,705,890.78/195,772.50
  6. Step 6: Final answer
    x = 158,938.08

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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.