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Finding the Fourth Proportional to 151,855.94, 227,922.96 and 77,027.78

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Solution

The fourth proportional to 151,855.94, 227,922.96 and 77,027.78 is: 115,612.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,855.94 : 227,922.96 = 77,027.78 : x
  2. Step 2: Convert to fraction form
    151,855.94/227,922.96 = 77,027.78/x
  3. Step 3: Cross multiply
    151,855.94x = 227,922.96 × 77,027.78
  4. Step 4: Simplify right side
    151,855.94x = 17,556,399,619.83
  5. Step 5: Solve for x
    x = 17,556,399,619.83/151,855.94
  6. Step 6: Final answer
    x = 115,612.20

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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.