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Finding the Fourth Proportional to 203,644.16, 305,510.08 and 61,477.52

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Solution

The fourth proportional to 203,644.16, 305,510.08 and 61,477.52 is: 92,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,644.16 : 305,510.08 = 61,477.52 : x
  2. Step 2: Convert to fraction form
    203,644.16/305,510.08 = 61,477.52/x
  3. Step 3: Cross multiply
    203,644.16x = 305,510.08 × 61,477.52
  4. Step 4: Simplify right side
    203,644.16x = 18,782,002,053.40
  5. Step 5: Solve for x
    x = 18,782,002,053.40/203,644.16
  6. Step 6: Final answer
    x = 92,229.51

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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.