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Finding the Fourth Proportional to 193,624.17, 290,321.43 and 73,690.17

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Solution

The fourth proportional to 193,624.17, 290,321.43 and 73,690.17 is: 110,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,624.17 : 290,321.43 = 73,690.17 : x
  2. Step 2: Convert to fraction form
    193,624.17/290,321.43 = 73,690.17/x
  3. Step 3: Cross multiply
    193,624.17x = 290,321.43 × 73,690.17
  4. Step 4: Simplify right side
    193,624.17x = 21,393,835,531.34
  5. Step 5: Solve for x
    x = 21,393,835,531.34/193,624.17
  6. Step 6: Final answer
    x = 110,491.55

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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.