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Finding the Fourth Proportional to 203,648.92, 305,696.85 and 161,798.02

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Solution

The fourth proportional to 203,648.92, 305,696.85 and 161,798.02 is: 242,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,648.92 : 305,696.85 = 161,798.02 : x
  2. Step 2: Convert to fraction form
    203,648.92/305,696.85 = 161,798.02/x
  3. Step 3: Cross multiply
    203,648.92x = 305,696.85 × 161,798.02
  4. Step 4: Simplify right side
    203,648.92x = 49,461,145,050.24
  5. Step 5: Solve for x
    x = 49,461,145,050.24/203,648.92
  6. Step 6: Final answer
    x = 242,874.58

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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.