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Finding the Fourth Proportional to 291,189.87, 401,841.21 and 163,865.48

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Solution

The fourth proportional to 291,189.87, 401,841.21 and 163,865.48 is: 226,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,189.87 : 401,841.21 = 163,865.48 : x
  2. Step 2: Convert to fraction form
    291,189.87/401,841.21 = 163,865.48/x
  3. Step 3: Cross multiply
    291,189.87x = 401,841.21 × 163,865.48
  4. Step 4: Simplify right side
    291,189.87x = 65,847,900,751.22
  5. Step 5: Solve for x
    x = 65,847,900,751.22/291,189.87
  6. Step 6: Final answer
    x = 226,133.90

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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.