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Finding the Fourth Proportional to 194,665.32, 291,857.79 and 119,630.46

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Solution

The fourth proportional to 194,665.32, 291,857.79 and 119,630.46 is: 179,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,665.32 : 291,857.79 = 119,630.46 : x
  2. Step 2: Convert to fraction form
    194,665.32/291,857.79 = 119,630.46/x
  3. Step 3: Cross multiply
    194,665.32x = 291,857.79 × 119,630.46
  4. Step 4: Simplify right side
    194,665.32x = 34,915,081,672.28
  5. Step 5: Solve for x
    x = 34,915,081,672.28/194,665.32
  6. Step 6: Final answer
    x = 179,359.54

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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.