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Finding the Fourth Proportional to 301,969.80, 416,723.40 and 166,009.41

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Solution

The fourth proportional to 301,969.80, 416,723.40 and 166,009.41 is: 229,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,969.80 : 416,723.40 = 166,009.41 : x
  2. Step 2: Convert to fraction form
    301,969.80/416,723.40 = 166,009.41/x
  3. Step 3: Cross multiply
    301,969.80x = 416,723.40 × 166,009.41
  4. Step 4: Simplify right side
    301,969.80x = 69,180,005,767.19
  5. Step 5: Solve for x
    x = 69,180,005,767.19/301,969.80
  6. Step 6: Final answer
    x = 229,095.78

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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.