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Finding the Fourth Proportional to 211,378.81, 291,713.94 and 115,889.53

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Solution

The fourth proportional to 211,378.81, 291,713.94 and 115,889.53 is: 159,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,378.81 : 291,713.94 = 115,889.53 : x
  2. Step 2: Convert to fraction form
    211,378.81/291,713.94 = 115,889.53/x
  3. Step 3: Cross multiply
    211,378.81x = 291,713.94 × 115,889.53
  4. Step 4: Simplify right side
    211,378.81x = 33,806,591,401.05
  5. Step 5: Solve for x
    x = 33,806,591,401.05/211,378.81
  6. Step 6: Final answer
    x = 159,933.68

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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.