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Finding the Fourth Proportional to 157,054.26, 216,738.39 and 85,438.14

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Solution

The fourth proportional to 157,054.26, 216,738.39 and 85,438.14 is: 117,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,054.26 : 216,738.39 = 85,438.14 : x
  2. Step 2: Convert to fraction form
    157,054.26/216,738.39 = 85,438.14/x
  3. Step 3: Cross multiply
    157,054.26x = 216,738.39 × 85,438.14
  4. Step 4: Simplify right side
    157,054.26x = 18,517,724,908.19
  5. Step 5: Solve for x
    x = 18,517,724,908.19/157,054.26
  6. Step 6: Final answer
    x = 117,906.54

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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.