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Finding the Fourth Proportional to 211,427.68, 291,770.32 and 115,932.40

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Solution

The fourth proportional to 211,427.68, 291,770.32 and 115,932.40 is: 159,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,427.68 : 291,770.32 = 115,932.40 : x
  2. Step 2: Convert to fraction form
    211,427.68/291,770.32 = 115,932.40/x
  3. Step 3: Cross multiply
    211,427.68x = 291,770.32 × 115,932.40
  4. Step 4: Simplify right side
    211,427.68x = 33,825,633,446.37
  5. Step 5: Solve for x
    x = 33,825,633,446.37/211,427.68
  6. Step 6: Final answer
    x = 159,986.78

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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.