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Finding the Fourth Proportional to 192,004.74, 287,792.49 and 71,946.20

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Solution

The fourth proportional to 192,004.74, 287,792.49 and 71,946.20 is: 107,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,004.74 : 287,792.49 = 71,946.20 : x
  2. Step 2: Convert to fraction form
    192,004.74/287,792.49 = 71,946.20/x
  3. Step 3: Cross multiply
    192,004.74x = 287,792.49 × 71,946.20
  4. Step 4: Simplify right side
    192,004.74x = 20,705,577,033.32
  5. Step 5: Solve for x
    x = 20,705,577,033.32/192,004.74
  6. Step 6: Final answer
    x = 107,838.88

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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.