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Finding the Fourth Proportional to 137,229.68, 189,493.20 and 86,258.82

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Solution

The fourth proportional to 137,229.68, 189,493.20 and 86,258.82 is: 119,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,229.68 : 189,493.20 = 86,258.82 : x
  2. Step 2: Convert to fraction form
    137,229.68/189,493.20 = 86,258.82/x
  3. Step 3: Cross multiply
    137,229.68x = 189,493.20 × 86,258.82
  4. Step 4: Simplify right side
    137,229.68x = 16,345,459,830.02
  5. Step 5: Solve for x
    x = 16,345,459,830.02/137,229.68
  6. Step 6: Final answer
    x = 119,110.24

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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.