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Finding the Fourth Proportional to 301,963.57, 416,715.02 and 166,003.24

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Solution

The fourth proportional to 301,963.57, 416,715.02 and 166,003.24 is: 229,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,963.57 : 416,715.02 = 166,003.24 : x
  2. Step 2: Convert to fraction form
    301,963.57/416,715.02 = 166,003.24/x
  3. Step 3: Cross multiply
    301,963.57x = 416,715.02 × 166,003.24
  4. Step 4: Simplify right side
    301,963.57x = 69,176,043,476.66
  5. Step 5: Solve for x
    x = 69,176,043,476.66/301,963.57
  6. Step 6: Final answer
    x = 229,087.38

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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.