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Finding the Fourth Proportional to 301,135.24, 415,563.80 and 165,166.42

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Solution

The fourth proportional to 301,135.24, 415,563.80 and 165,166.42 is: 227,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,135.24 : 415,563.80 = 165,166.42 : x
  2. Step 2: Convert to fraction form
    301,135.24/415,563.80 = 165,166.42/x
  3. Step 3: Cross multiply
    301,135.24x = 415,563.80 × 165,166.42
  4. Step 4: Simplify right side
    301,135.24x = 68,637,185,127.60
  5. Step 5: Solve for x
    x = 68,637,185,127.60/301,135.24
  6. Step 6: Final answer
    x = 227,928.11

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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.