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Finding the Fourth Proportional to 137,582.54, 189,794 and 89,863.82

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Solution

The fourth proportional to 137,582.54, 189,794 and 89,863.82 is: 123,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,582.54 : 189,794 = 89,863.82 : x
  2. Step 2: Convert to fraction form
    137,582.54/189,794 = 89,863.82/x
  3. Step 3: Cross multiply
    137,582.54x = 189,794 × 89,863.82
  4. Step 4: Simplify right side
    137,582.54x = 17,055,613,853.08
  5. Step 5: Solve for x
    x = 17,055,613,853.08/137,582.54
  6. Step 6: Final answer
    x = 123,966.41

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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.