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Finding the Fourth Proportional to 302,046.01, 416,812.81 and 166,079

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Solution

The fourth proportional to 302,046.01, 416,812.81 and 166,079 is: 229,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,046.01 : 416,812.81 = 166,079 : x
  2. Step 2: Convert to fraction form
    302,046.01/416,812.81 = 166,079/x
  3. Step 3: Cross multiply
    302,046.01x = 416,812.81 × 166,079
  4. Step 4: Simplify right side
    302,046.01x = 69,223,854,671.99
  5. Step 5: Solve for x
    x = 69,223,854,671.99/302,046.01
  6. Step 6: Final answer
    x = 229,183.15

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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.