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Finding the Fourth Proportional to 137,357.40, 189,492.30 and 89,599.80

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Solution

The fourth proportional to 137,357.40, 189,492.30 and 89,599.80 is: 123,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,357.40 : 189,492.30 = 89,599.80 : x
  2. Step 2: Convert to fraction form
    137,357.40/189,492.30 = 89,599.80/x
  3. Step 3: Cross multiply
    137,357.40x = 189,492.30 × 89,599.80
  4. Step 4: Simplify right side
    137,357.40x = 16,978,472,181.54
  5. Step 5: Solve for x
    x = 16,978,472,181.54/137,357.40
  6. Step 6: Final answer
    x = 123,607.99

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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.