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Finding the Fourth Proportional to 301,900.80, 416,633.08 and 165,939.60

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Solution

The fourth proportional to 301,900.80, 416,633.08 and 165,939.60 is: 229,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,900.80 : 416,633.08 = 165,939.60 : x
  2. Step 2: Convert to fraction form
    301,900.80/416,633.08 = 165,939.60/x
  3. Step 3: Cross multiply
    301,900.80x = 416,633.08 × 165,939.60
  4. Step 4: Simplify right side
    301,900.80x = 69,135,926,641.97
  5. Step 5: Solve for x
    x = 69,135,926,641.97/301,900.80
  6. Step 6: Final answer
    x = 229,002.13

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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.