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Finding the Fourth Proportional to 267,742.72, 401,358.08 and 99,217.92

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Solution

The fourth proportional to 267,742.72, 401,358.08 and 99,217.92 is: 148,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,742.72 : 401,358.08 = 99,217.92 : x
  2. Step 2: Convert to fraction form
    267,742.72/401,358.08 = 99,217.92/x
  3. Step 3: Cross multiply
    267,742.72x = 401,358.08 × 99,217.92
  4. Step 4: Simplify right side
    267,742.72x = 39,821,913,872.79
  5. Step 5: Solve for x
    x = 39,821,913,872.79/267,742.72
  6. Step 6: Final answer
    x = 148,732.01

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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.