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Finding the Fourth Proportional to 416,081.92, 624,150.82 and 146,177.24

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Solution

The fourth proportional to 416,081.92, 624,150.82 and 146,177.24 is: 219,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,081.92 : 624,150.82 = 146,177.24 : x
  2. Step 2: Convert to fraction form
    416,081.92/624,150.82 = 146,177.24/x
  3. Step 3: Cross multiply
    416,081.92x = 624,150.82 × 146,177.24
  4. Step 4: Simplify right side
    416,081.92x = 91,236,644,211.34
  5. Step 5: Solve for x
    x = 91,236,644,211.34/416,081.92
  6. Step 6: Final answer
    x = 219,275.68

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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.