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Finding the Fourth Proportional to 267,665.10, 401,157.45 and 109,715.10

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Solution

The fourth proportional to 267,665.10, 401,157.45 and 109,715.10 is: 164,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,665.10 : 401,157.45 = 109,715.10 : x
  2. Step 2: Convert to fraction form
    267,665.10/401,157.45 = 109,715.10/x
  3. Step 3: Cross multiply
    267,665.10x = 401,157.45 × 109,715.10
  4. Step 4: Simplify right side
    267,665.10x = 44,013,029,742.50
  5. Step 5: Solve for x
    x = 44,013,029,742.50/267,665.10
  6. Step 6: Final answer
    x = 164,433.20

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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.