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Finding the Fourth Proportional to 291,960.87, 402,919.83 and 164,633.73

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Solution

The fourth proportional to 291,960.87, 402,919.83 and 164,633.73 is: 227,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,960.87 : 402,919.83 = 164,633.73 : x
  2. Step 2: Convert to fraction form
    291,960.87/402,919.83 = 164,633.73/x
  3. Step 3: Cross multiply
    291,960.87x = 402,919.83 × 164,633.73
  4. Step 4: Simplify right side
    291,960.87x = 66,334,194,503.87
  5. Step 5: Solve for x
    x = 66,334,194,503.87/291,960.87
  6. Step 6: Final answer
    x = 227,202.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.