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Finding the Fourth Proportional to 230,092.72, 344,996.12 and 96,904.40

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Solution

The fourth proportional to 230,092.72, 344,996.12 and 96,904.40 is: 145,296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092.72 : 344,996.12 = 96,904.40 : x
  2. Step 2: Convert to fraction form
    230,092.72/344,996.12 = 96,904.40/x
  3. Step 3: Cross multiply
    230,092.72x = 344,996.12 × 96,904.40
  4. Step 4: Simplify right side
    230,092.72x = 33,431,642,010.93
  5. Step 5: Solve for x
    x = 33,431,642,010.93/230,092.72
  6. Step 6: Final answer
    x = 145,296.39

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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.