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Finding the Fourth Proportional to 201,764.25, 278,454.11 and 112,340.25

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Solution

The fourth proportional to 201,764.25, 278,454.11 and 112,340.25 is: 155,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,764.25 : 278,454.11 = 112,340.25 : x
  2. Step 2: Convert to fraction form
    201,764.25/278,454.11 = 112,340.25/x
  3. Step 3: Cross multiply
    201,764.25x = 278,454.11 × 112,340.25
  4. Step 4: Simplify right side
    201,764.25x = 31,281,603,769.23
  5. Step 5: Solve for x
    x = 31,281,603,769.23/201,764.25
  6. Step 6: Final answer
    x = 155,040.37

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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.