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Finding the Fourth Proportional to 206,484.59, 285,001.11 and 141,099.89

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Solution

The fourth proportional to 206,484.59, 285,001.11 and 141,099.89 is: 194,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,484.59 : 285,001.11 = 141,099.89 : x
  2. Step 2: Convert to fraction form
    206,484.59/285,001.11 = 141,099.89/x
  3. Step 3: Cross multiply
    206,484.59x = 285,001.11 × 141,099.89
  4. Step 4: Simplify right side
    206,484.59x = 40,213,623,845.87
  5. Step 5: Solve for x
    x = 40,213,623,845.87/206,484.59
  6. Step 6: Final answer
    x = 194,753.63

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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.