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Finding the Fourth Proportional to 151,814.01, 227,471.77 and 51,919.71

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Solution

The fourth proportional to 151,814.01, 227,471.77 and 51,919.71 is: 77,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,814.01 : 227,471.77 = 51,919.71 : x
  2. Step 2: Convert to fraction form
    151,814.01/227,471.77 = 51,919.71/x
  3. Step 3: Cross multiply
    151,814.01x = 227,471.77 × 51,919.71
  4. Step 4: Simplify right side
    151,814.01x = 11,810,267,543.47
  5. Step 5: Solve for x
    x = 11,810,267,543.47/151,814.01
  6. Step 6: Final answer
    x = 77,794.32

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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.