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Finding the Fourth Proportional to 305,752.16, 421,919.16 and 169,777.82

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Solution

The fourth proportional to 305,752.16, 421,919.16 and 169,777.82 is: 234,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,752.16 : 421,919.16 = 169,777.82 : x
  2. Step 2: Convert to fraction form
    305,752.16/421,919.16 = 169,777.82/x
  3. Step 3: Cross multiply
    305,752.16x = 421,919.16 × 169,777.82
  4. Step 4: Simplify right side
    305,752.16x = 71,632,515,201.03
  5. Step 5: Solve for x
    x = 71,632,515,201.03/305,752.16
  6. Step 6: Final answer
    x = 234,282.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.