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Finding the Fourth Proportional to 267,689.45, 400,998.82 and 161,014.50

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Solution

The fourth proportional to 267,689.45, 400,998.82 and 161,014.50 is: 241,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,689.45 : 400,998.82 = 161,014.50 : x
  2. Step 2: Convert to fraction form
    267,689.45/400,998.82 = 161,014.50/x
  3. Step 3: Cross multiply
    267,689.45x = 400,998.82 × 161,014.50
  4. Step 4: Simplify right side
    267,689.45x = 64,566,624,502.89
  5. Step 5: Solve for x
    x = 64,566,624,502.89/267,689.45
  6. Step 6: Final answer
    x = 241,199.74

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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.