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Finding the Fourth Proportional to 273,833.87, 409,751.64 and 161,567.87

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Solution

The fourth proportional to 273,833.87, 409,751.64 and 161,567.87 is: 241,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,833.87 : 409,751.64 = 161,567.87 : x
  2. Step 2: Convert to fraction form
    273,833.87/409,751.64 = 161,567.87/x
  3. Step 3: Cross multiply
    273,833.87x = 409,751.64 × 161,567.87
  4. Step 4: Simplify right side
    273,833.87x = 66,202,697,655.05
  5. Step 5: Solve for x
    x = 66,202,697,655.05/273,833.87
  6. Step 6: Final answer
    x = 241,762.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.