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Finding the Fourth Proportional to 127,967.20, 192,037.20 and 71,807.20

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Solution

The fourth proportional to 127,967.20, 192,037.20 and 71,807.20 is: 107,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,967.20 : 192,037.20 = 71,807.20 : x
  2. Step 2: Convert to fraction form
    127,967.20/192,037.20 = 71,807.20/x
  3. Step 3: Cross multiply
    127,967.20x = 192,037.20 × 71,807.20
  4. Step 4: Simplify right side
    127,967.20x = 13,789,653,627.84
  5. Step 5: Solve for x
    x = 13,789,653,627.84/127,967.20
  6. Step 6: Final answer
    x = 107,759.28

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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.