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Finding the Fourth Proportional to 193,641.76, 290,511.91 and 113,747.29

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Solution

The fourth proportional to 193,641.76, 290,511.91 and 113,747.29 is: 170,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,641.76 : 290,511.91 = 113,747.29 : x
  2. Step 2: Convert to fraction form
    193,641.76/290,511.91 = 113,747.29/x
  3. Step 3: Cross multiply
    193,641.76x = 290,511.91 × 113,747.29
  4. Step 4: Simplify right side
    193,641.76x = 33,044,942,475.22
  5. Step 5: Solve for x
    x = 33,044,942,475.22/193,641.76
  6. Step 6: Final answer
    x = 170,649.88

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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.