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Finding the Fourth Proportional to 154,448, 213,138.24 and 83,792

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Solution

The fourth proportional to 154,448, 213,138.24 and 83,792 is: 115,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,448 : 213,138.24 = 83,792 : x
  2. Step 2: Convert to fraction form
    154,448/213,138.24 = 83,792/x
  3. Step 3: Cross multiply
    154,448x = 213,138.24 × 83,792
  4. Step 4: Simplify right side
    154,448x = 17,859,279,406.08
  5. Step 5: Solve for x
    x = 17,859,279,406.08/154,448
  6. Step 6: Final answer
    x = 115,632.96

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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.