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Finding the Fourth Proportional to 201,811.22, 278,499.44 and 116,977.48

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Solution

The fourth proportional to 201,811.22, 278,499.44 and 116,977.48 is: 161,428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.22 : 278,499.44 = 116,977.48 : x
  2. Step 2: Convert to fraction form
    201,811.22/278,499.44 = 116,977.48/x
  3. Step 3: Cross multiply
    201,811.22x = 278,499.44 × 116,977.48
  4. Step 4: Simplify right side
    201,811.22x = 32,578,162,672.61
  5. Step 5: Solve for x
    x = 32,578,162,672.61/201,811.22
  6. Step 6: Final answer
    x = 161,428.90

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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.