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Finding the Fourth Proportional to 146,448, 202,098.38 and 79,380

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Solution

The fourth proportional to 146,448, 202,098.38 and 79,380 is: 109,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,448 : 202,098.38 = 79,380 : x
  2. Step 2: Convert to fraction form
    146,448/202,098.38 = 79,380/x
  3. Step 3: Cross multiply
    146,448x = 202,098.38 × 79,380
  4. Step 4: Simplify right side
    146,448x = 16,042,569,007.50
  5. Step 5: Solve for x
    x = 16,042,569,007.50/146,448
  6. Step 6: Final answer
    x = 109,544.47

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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.