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Finding the Fourth Proportional to 193,670.60, 290,609.10 and 75,345.80

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Solution

The fourth proportional to 193,670.60, 290,609.10 and 75,345.80 is: 113,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,670.60 : 290,609.10 = 75,345.80 : x
  2. Step 2: Convert to fraction form
    193,670.60/290,609.10 = 75,345.80/x
  3. Step 3: Cross multiply
    193,670.60x = 290,609.10 × 75,345.80
  4. Step 4: Simplify right side
    193,670.60x = 21,896,175,126.78
  5. Step 5: Solve for x
    x = 21,896,175,126.78/193,670.60
  6. Step 6: Final answer
    x = 113,058.85

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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.