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Finding the Fourth Proportional to 267,437.76, 401,156.64 and 109,558.50

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Solution

The fourth proportional to 267,437.76, 401,156.64 and 109,558.50 is: 164,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,437.76 : 401,156.64 = 109,558.50 : x
  2. Step 2: Convert to fraction form
    267,437.76/401,156.64 = 109,558.50/x
  3. Step 3: Cross multiply
    267,437.76x = 401,156.64 × 109,558.50
  4. Step 4: Simplify right side
    267,437.76x = 43,950,119,743.44
  5. Step 5: Solve for x
    x = 43,950,119,743.44/267,437.76
  6. Step 6: Final answer
    x = 164,337.75

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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.