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Finding the Fourth Proportional to 194,612.70, 291,919.05 and 185,427.30

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Solution

The fourth proportional to 194,612.70, 291,919.05 and 185,427.30 is: 278,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,612.70 : 291,919.05 = 185,427.30 : x
  2. Step 2: Convert to fraction form
    194,612.70/291,919.05 = 185,427.30/x
  3. Step 3: Cross multiply
    194,612.70x = 291,919.05 × 185,427.30
  4. Step 4: Simplify right side
    194,612.70x = 54,129,761,260.07
  5. Step 5: Solve for x
    x = 54,129,761,260.07/194,612.70
  6. Step 6: Final answer
    x = 278,140.95

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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.