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Finding the Fourth Proportional to 194,315.78, 291,473.67 and 75,904.09

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Solution

The fourth proportional to 194,315.78, 291,473.67 and 75,904.09 is: 113,856.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,315.78 : 291,473.67 = 75,904.09 : x
  2. Step 2: Convert to fraction form
    194,315.78/291,473.67 = 75,904.09/x
  3. Step 3: Cross multiply
    194,315.78x = 291,473.67 × 75,904.09
  4. Step 4: Simplify right side
    194,315.78x = 22,124,043,236.27
  5. Step 5: Solve for x
    x = 22,124,043,236.27/194,315.78
  6. Step 6: Final answer
    x = 113,856.13

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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.