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Finding the Fourth Proportional to 194,322.48, 291,483.74 and 75,910.78

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Solution

The fourth proportional to 194,322.48, 291,483.74 and 75,910.78 is: 113,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,322.48 : 291,483.74 = 75,910.78 : x
  2. Step 2: Convert to fraction form
    194,322.48/291,483.74 = 75,910.78/x
  3. Step 3: Cross multiply
    194,322.48x = 291,483.74 × 75,910.78
  4. Step 4: Simplify right side
    194,322.48x = 22,126,758,060.72
  5. Step 5: Solve for x
    x = 22,126,758,060.72/194,322.48
  6. Step 6: Final answer
    x = 113,866.18

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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.