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Finding the Fourth Proportional to 127,983.20, 192,061.20 and 71,823.20

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Solution

The fourth proportional to 127,983.20, 192,061.20 and 71,823.20 is: 107,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,983.20 : 192,061.20 = 71,823.20 : x
  2. Step 2: Convert to fraction form
    127,983.20/192,061.20 = 71,823.20/x
  3. Step 3: Cross multiply
    127,983.20x = 192,061.20 × 71,823.20
  4. Step 4: Simplify right side
    127,983.20x = 13,794,449,979.84
  5. Step 5: Solve for x
    x = 13,794,449,979.84/127,983.20
  6. Step 6: Final answer
    x = 107,783.29

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1.5x scale

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.