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Finding the Fourth Proportional to 193,892.50, 290,836.57 and 75,646.89

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Solution

The fourth proportional to 193,892.50, 290,836.57 and 75,646.89 is: 113,469.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,892.50 : 290,836.57 = 75,646.89 : x
  2. Step 2: Convert to fraction form
    193,892.50/290,836.57 = 75,646.89/x
  3. Step 3: Cross multiply
    193,892.50x = 290,836.57 × 75,646.89
  4. Step 4: Simplify right side
    193,892.50x = 22,000,882,018.77
  5. Step 5: Solve for x
    x = 22,000,882,018.77/193,892.50
  6. Step 6: Final answer
    x = 113,469.48

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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.