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Finding the Fourth Proportional to 127,894.28, 191,857.80 and 68,648.72

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Solution

The fourth proportional to 127,894.28, 191,857.80 and 68,648.72 is: 102,981.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,894.28 : 191,857.80 = 68,648.72 : x
  2. Step 2: Convert to fraction form
    127,894.28/191,857.80 = 68,648.72/x
  3. Step 3: Cross multiply
    127,894.28x = 191,857.80 × 68,648.72
  4. Step 4: Simplify right side
    127,894.28x = 13,170,792,392.02
  5. Step 5: Solve for x
    x = 13,170,792,392.02/127,894.28
  6. Step 6: Final answer
    x = 102,981.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.