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Finding the Fourth Proportional to 192,398.94, 288,598.41 and 52,153.92

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Solution

The fourth proportional to 192,398.94, 288,598.41 and 52,153.92 is: 78,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,398.94 : 288,598.41 = 52,153.92 : x
  2. Step 2: Convert to fraction form
    192,398.94/288,598.41 = 52,153.92/x
  3. Step 3: Cross multiply
    192,398.94x = 288,598.41 × 52,153.92
  4. Step 4: Simplify right side
    192,398.94x = 15,051,538,387.27
  5. Step 5: Solve for x
    x = 15,051,538,387.27/192,398.94
  6. Step 6: Final answer
    x = 78,230.88

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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.