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Finding the Fourth Proportional to 205,697.42, 283,888.73 and 115,058.42

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Solution

The fourth proportional to 205,697.42, 283,888.73 and 115,058.42 is: 158,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,697.42 : 283,888.73 = 115,058.42 : x
  2. Step 2: Convert to fraction form
    205,697.42/283,888.73 = 115,058.42/x
  3. Step 3: Cross multiply
    205,697.42x = 283,888.73 × 115,058.42
  4. Step 4: Simplify right side
    205,697.42x = 32,663,788,729.61
  5. Step 5: Solve for x
    x = 32,663,788,729.61/205,697.42
  6. Step 6: Final answer
    x = 158,795.33

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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.