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Finding the Fourth Proportional to 193,643.88, 290,515.10 and 113,749.41

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Solution

The fourth proportional to 193,643.88, 290,515.10 and 113,749.41 is: 170,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,643.88 : 290,515.10 = 113,749.41 : x
  2. Step 2: Convert to fraction form
    193,643.88/290,515.10 = 113,749.41/x
  3. Step 3: Cross multiply
    193,643.88x = 290,515.10 × 113,749.41
  4. Step 4: Simplify right side
    193,643.88x = 33,045,921,221.09
  5. Step 5: Solve for x
    x = 33,045,921,221.09/193,643.88
  6. Step 6: Final answer
    x = 170,653.06

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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.