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Finding the Fourth Proportional to 194,322.92, 291,484.38 and 75,911.22

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Solution

The fourth proportional to 194,322.92, 291,484.38 and 75,911.22 is: 113,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,322.92 : 291,484.38 = 75,911.22 : x
  2. Step 2: Convert to fraction form
    194,322.92/291,484.38 = 75,911.22/x
  3. Step 3: Cross multiply
    194,322.92x = 291,484.38 × 75,911.22
  4. Step 4: Simplify right side
    194,322.92x = 22,126,935,435.68
  5. Step 5: Solve for x
    x = 22,126,935,435.68/194,322.92
  6. Step 6: Final answer
    x = 113,866.83

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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.