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Finding the Fourth Proportional to 301,998.81, 416,761.16 and 166,033.72

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Solution

The fourth proportional to 301,998.81, 416,761.16 and 166,033.72 is: 229,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,998.81 : 416,761.16 = 166,033.72 : x
  2. Step 2: Convert to fraction form
    301,998.81/416,761.16 = 166,033.72/x
  3. Step 3: Cross multiply
    301,998.81x = 416,761.16 × 166,033.72
  4. Step 4: Simplify right side
    301,998.81x = 69,196,405,746.32
  5. Step 5: Solve for x
    x = 69,196,405,746.32/301,998.81
  6. Step 6: Final answer
    x = 229,128.07

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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.