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Finding the Fourth Proportional to 193,251.12, 289,863.72 and 52,998

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Solution

The fourth proportional to 193,251.12, 289,863.72 and 52,998 is: 79,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,251.12 : 289,863.72 = 52,998 : x
  2. Step 2: Convert to fraction form
    193,251.12/289,863.72 = 52,998/x
  3. Step 3: Cross multiply
    193,251.12x = 289,863.72 × 52,998
  4. Step 4: Simplify right side
    193,251.12x = 15,362,197,432.56
  5. Step 5: Solve for x
    x = 15,362,197,432.56/193,251.12
  6. Step 6: Final answer
    x = 79,493.45

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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.