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Finding the Fourth Proportional to 140,198.12, 193,473.22 and 89,897

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Solution

The fourth proportional to 140,198.12, 193,473.22 and 89,897 is: 124,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,198.12 : 193,473.22 = 89,897 : x
  2. Step 2: Convert to fraction form
    140,198.12/193,473.22 = 89,897/x
  3. Step 3: Cross multiply
    140,198.12x = 193,473.22 × 89,897
  4. Step 4: Simplify right side
    140,198.12x = 17,392,662,058.34
  5. Step 5: Solve for x
    x = 17,392,662,058.34/140,198.12
  6. Step 6: Final answer
    x = 124,057.74

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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.