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Finding the Fourth Proportional to 301,899.63, 416,631.02 and 165,944.09

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Solution

The fourth proportional to 301,899.63, 416,631.02 and 165,944.09 is: 229,008.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,899.63 : 416,631.02 = 165,944.09 : x
  2. Step 2: Convert to fraction form
    301,899.63/416,631.02 = 165,944.09/x
  3. Step 3: Cross multiply
    301,899.63x = 416,631.02 × 165,944.09
  4. Step 4: Simplify right side
    301,899.63x = 69,137,456,158.25
  5. Step 5: Solve for x
    x = 69,137,456,158.25/301,899.63
  6. Step 6: Final answer
    x = 229,008.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.