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Finding the Fourth Proportional to 231,613.74, 347,476.86 and 73,842.08

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Solution

The fourth proportional to 231,613.74, 347,476.86 and 73,842.08 is: 110,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,613.74 : 347,476.86 = 73,842.08 : x
  2. Step 2: Convert to fraction form
    231,613.74/347,476.86 = 73,842.08/x
  3. Step 3: Cross multiply
    231,613.74x = 347,476.86 × 73,842.08
  4. Step 4: Simplify right side
    231,613.74x = 25,658,412,356.88
  5. Step 5: Solve for x
    x = 25,658,412,356.88/231,613.74
  6. Step 6: Final answer
    x = 110,781.05

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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.