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Finding the Fourth Proportional to 181,269.10, 271,903.65 and 134,613.10

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Solution

The fourth proportional to 181,269.10, 271,903.65 and 134,613.10 is: 201,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,269.10 : 271,903.65 = 134,613.10 : x
  2. Step 2: Convert to fraction form
    181,269.10/271,903.65 = 134,613.10/x
  3. Step 3: Cross multiply
    181,269.10x = 271,903.65 × 134,613.10
  4. Step 4: Simplify right side
    181,269.10x = 36,601,793,227.82
  5. Step 5: Solve for x
    x = 36,601,793,227.82/181,269.10
  6. Step 6: Final answer
    x = 201,919.65

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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.