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Finding the Fourth Proportional to 243,227.63, 335,767.89 and 141,233.21

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Solution

The fourth proportional to 243,227.63, 335,767.89 and 141,233.21 is: 194,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,227.63 : 335,767.89 = 141,233.21 : x
  2. Step 2: Convert to fraction form
    243,227.63/335,767.89 = 141,233.21/x
  3. Step 3: Cross multiply
    243,227.63x = 335,767.89 × 141,233.21
  4. Step 4: Simplify right side
    243,227.63x = 47,421,577,987.02
  5. Step 5: Solve for x
    x = 47,421,577,987.02/243,227.63
  6. Step 6: Final answer
    x = 194,967.89

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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.