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Finding the Fourth Proportional to 192,816.40, 288,641.40 and 171,821.20

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Solution

The fourth proportional to 192,816.40, 288,641.40 and 171,821.20 is: 257,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816.40 : 288,641.40 = 171,821.20 : x
  2. Step 2: Convert to fraction form
    192,816.40/288,641.40 = 171,821.20/x
  3. Step 3: Cross multiply
    192,816.40x = 288,641.40 × 171,821.20
  4. Step 4: Simplify right side
    192,816.40x = 49,594,711,717.68
  5. Step 5: Solve for x
    x = 49,594,711,717.68/192,816.40
  6. Step 6: Final answer
    x = 257,212.10

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1.5x scale

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.