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Finding the Fourth Proportional to 270,535.10, 405,414.45 and 151,956.87

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Solution

The fourth proportional to 270,535.10, 405,414.45 and 151,956.87 is: 227,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,535.10 : 405,414.45 = 151,956.87 : x
  2. Step 2: Convert to fraction form
    270,535.10/405,414.45 = 151,956.87/x
  3. Step 3: Cross multiply
    270,535.10x = 405,414.45 × 151,956.87
  4. Step 4: Simplify right side
    270,535.10x = 61,605,510,874.77
  5. Step 5: Solve for x
    x = 61,605,510,874.77/270,535.10
  6. Step 6: Final answer
    x = 227,717.26

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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.