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Finding the Fourth Proportional to 267,394.93, 401,178.13 and 77,866.67

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Solution

The fourth proportional to 267,394.93, 401,178.13 and 77,866.67 is: 116,824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,394.93 : 401,178.13 = 77,866.67 : x
  2. Step 2: Convert to fraction form
    267,394.93/401,178.13 = 77,866.67/x
  3. Step 3: Cross multiply
    267,394.93x = 401,178.13 × 77,866.67
  4. Step 4: Simplify right side
    267,394.93x = 31,238,405,059.93
  5. Step 5: Solve for x
    x = 31,238,405,059.93/267,394.93
  6. Step 6: Final answer
    x = 116,824.97

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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.