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Finding the Fourth Proportional to 151,856.94, 227,924.46 and 77,028.78

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Solution

The fourth proportional to 151,856.94, 227,924.46 and 77,028.78 is: 115,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,856.94 : 227,924.46 = 77,028.78 : x
  2. Step 2: Convert to fraction form
    151,856.94/227,924.46 = 77,028.78/x
  3. Step 3: Cross multiply
    151,856.94x = 227,924.46 × 77,028.78
  4. Step 4: Simplify right side
    151,856.94x = 17,556,743,085.96
  5. Step 5: Solve for x
    x = 17,556,743,085.96/151,856.94
  6. Step 6: Final answer
    x = 115,613.70

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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.