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Finding the Fourth Proportional to 140,557.32, 194,032.44 and 89,638.38

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Solution

The fourth proportional to 140,557.32, 194,032.44 and 89,638.38 is: 123,741.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,557.32 : 194,032.44 = 89,638.38 : x
  2. Step 2: Convert to fraction form
    140,557.32/194,032.44 = 89,638.38/x
  3. Step 3: Cross multiply
    140,557.32x = 194,032.44 × 89,638.38
  4. Step 4: Simplify right side
    140,557.32x = 17,392,753,589.05
  5. Step 5: Solve for x
    x = 17,392,753,589.05/140,557.32
  6. Step 6: Final answer
    x = 123,741.36

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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.