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Finding the Fourth Proportional to 162,198, 223,932.06 and 111,294.36

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Solution

The fourth proportional to 162,198, 223,932.06 and 111,294.36 is: 153,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,198 : 223,932.06 = 111,294.36 : x
  2. Step 2: Convert to fraction form
    162,198/223,932.06 = 111,294.36/x
  3. Step 3: Cross multiply
    162,198x = 223,932.06 × 111,294.36
  4. Step 4: Simplify right side
    162,198x = 24,922,375,301.18
  5. Step 5: Solve for x
    x = 24,922,375,301.18/162,198
  6. Step 6: Final answer
    x = 153,654.02

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