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Finding the Fourth Proportional to 301,135.16, 415,578.15 and 165,174.84

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Solution

The fourth proportional to 301,135.16, 415,578.15 and 165,174.84 is: 227,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135.16 : 415,578.15 = 165,174.84 : x
  2. Step 2: Convert to fraction form
    301,135.16/415,578.15 = 165,174.84/x
  3. Step 3: Cross multiply
    301,135.16x = 415,578.15 × 165,174.84
  4. Step 4: Simplify right side
    301,135.16x = 68,643,054,433.75
  5. Step 5: Solve for x
    x = 68,643,054,433.75/301,135.16
  6. Step 6: Final answer
    x = 227,947.66

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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.