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Finding the Fourth Proportional to 137,371.82, 189,575.00 and 89,597.75

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Solution

The fourth proportional to 137,371.82, 189,575.00 and 89,597.75 is: 123,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,371.82 : 189,575.00 = 89,597.75 : x
  2. Step 2: Convert to fraction form
    137,371.82/189,575.00 = 89,597.75/x
  3. Step 3: Cross multiply
    137,371.82x = 189,575.00 × 89,597.75
  4. Step 4: Simplify right side
    137,371.82x = 16,985,492,396.38
  5. Step 5: Solve for x
    x = 16,985,492,396.38/137,371.82
  6. Step 6: Final answer
    x = 123,646.12

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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.