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Finding the Fourth Proportional to 287,017.60, 396,024 and 166,151.68

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Solution

The fourth proportional to 287,017.60, 396,024 and 166,151.68 is: 229,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,017.60 : 396,024 = 166,151.68 : x
  2. Step 2: Convert to fraction form
    287,017.60/396,024 = 166,151.68/x
  3. Step 3: Cross multiply
    287,017.60x = 396,024 × 166,151.68
  4. Step 4: Simplify right side
    287,017.60x = 65,800,052,920.32
  5. Step 5: Solve for x
    x = 65,800,052,920.32/287,017.60
  6. Step 6: Final answer
    x = 229,254.42

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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.