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Finding the Fourth Proportional to 137,618.12, 189,915.18 and 77,202.20

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Solution

The fourth proportional to 137,618.12, 189,915.18 and 77,202.20 is: 106,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,618.12 : 189,915.18 = 77,202.20 : x
  2. Step 2: Convert to fraction form
    137,618.12/189,915.18 = 77,202.20/x
  3. Step 3: Cross multiply
    137,618.12x = 189,915.18 × 77,202.20
  4. Step 4: Simplify right side
    137,618.12x = 14,661,869,709.40
  5. Step 5: Solve for x
    x = 14,661,869,709.40/137,618.12
  6. Step 6: Final answer
    x = 106,540.26

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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.