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Finding the Fourth Proportional to 194,138.70, 291,208.05 and 185,670.15

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Solution

The fourth proportional to 194,138.70, 291,208.05 and 185,670.15 is: 278,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,138.70 : 291,208.05 = 185,670.15 : x
  2. Step 2: Convert to fraction form
    194,138.70/291,208.05 = 185,670.15/x
  3. Step 3: Cross multiply
    194,138.70x = 291,208.05 × 185,670.15
  4. Step 4: Simplify right side
    194,138.70x = 54,068,642,324.71
  5. Step 5: Solve for x
    x = 54,068,642,324.71/194,138.70
  6. Step 6: Final answer
    x = 278,505.23

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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.