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Finding the Fourth Proportional to 243,214.88, 335,609.19 and 141,227.78

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Solution

The fourth proportional to 243,214.88, 335,609.19 and 141,227.78 is: 194,878.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,214.88 : 335,609.19 = 141,227.78 : x
  2. Step 2: Convert to fraction form
    243,214.88/335,609.19 = 141,227.78/x
  3. Step 3: Cross multiply
    243,214.88x = 335,609.19 × 141,227.78
  4. Step 4: Simplify right side
    243,214.88x = 47,397,339,173.25
  5. Step 5: Solve for x
    x = 47,397,339,173.25/243,214.88
  6. Step 6: Final answer
    x = 194,878.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.