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Finding the Fourth Proportional to 267,904.69, 401,857.02 and 80,916.19

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Solution

The fourth proportional to 267,904.69, 401,857.02 and 80,916.19 is: 121,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,904.69 : 401,857.02 = 80,916.19 : x
  2. Step 2: Convert to fraction form
    267,904.69/401,857.02 = 80,916.19/x
  3. Step 3: Cross multiply
    267,904.69x = 401,857.02 × 80,916.19
  4. Step 4: Simplify right side
    267,904.69x = 32,516,738,983.15
  5. Step 5: Solve for x
    x = 32,516,738,983.15/267,904.69
  6. Step 6: Final answer
    x = 121,374.28

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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.