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Finding the Fourth Proportional to 194,773.50, 290,441.79 and 187,835.22

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Solution

The fourth proportional to 194,773.50, 290,441.79 and 187,835.22 is: 280,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,773.50 : 290,441.79 = 187,835.22 : x
  2. Step 2: Convert to fraction form
    194,773.50/290,441.79 = 187,835.22/x
  3. Step 3: Cross multiply
    194,773.50x = 290,441.79 × 187,835.22
  4. Step 4: Simplify right side
    194,773.50x = 54,555,197,521.84
  5. Step 5: Solve for x
    x = 54,555,197,521.84/194,773.50
  6. Step 6: Final answer
    x = 280,095.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.