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Finding the Fourth Proportional to 267,890.56, 401,835.84 and 101,678.56

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Solution

The fourth proportional to 267,890.56, 401,835.84 and 101,678.56 is: 152,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,890.56 : 401,835.84 = 101,678.56 : x
  2. Step 2: Convert to fraction form
    267,890.56/401,835.84 = 101,678.56/x
  3. Step 3: Cross multiply
    267,890.56x = 401,835.84 × 101,678.56
  4. Step 4: Simplify right side
    267,890.56x = 40,858,089,567.59
  5. Step 5: Solve for x
    x = 40,858,089,567.59/267,890.56
  6. Step 6: Final answer
    x = 152,517.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.