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Finding the Fourth Proportional to 149,388.42, 206,143.34 and 85,724.85

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Solution

The fourth proportional to 149,388.42, 206,143.34 and 85,724.85 is: 118,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,388.42 : 206,143.34 = 85,724.85 : x
  2. Step 2: Convert to fraction form
    149,388.42/206,143.34 = 85,724.85/x
  3. Step 3: Cross multiply
    149,388.42x = 206,143.34 × 85,724.85
  4. Step 4: Simplify right side
    149,388.42x = 17,671,606,471.37
  5. Step 5: Solve for x
    x = 17,671,606,471.37/149,388.42
  6. Step 6: Final answer
    x = 118,293.01

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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.