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Finding the Fourth Proportional to 164,448, 246,711 and 53,640

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Solution

The fourth proportional to 164,448, 246,711 and 53,640 is: 80,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,448 : 246,711 = 53,640 : x
  2. Step 2: Convert to fraction form
    164,448/246,711 = 53,640/x
  3. Step 3: Cross multiply
    164,448x = 246,711 × 53,640
  4. Step 4: Simplify right side
    164,448x = 13,233,578,040
  5. Step 5: Solve for x
    x = 13,233,578,040/164,448
  6. Step 6: Final answer
    x = 80,472.72

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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.