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Finding the Fourth Proportional to 265,744.64, 398,611.92 and 107,864.48

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Solution

The fourth proportional to 265,744.64, 398,611.92 and 107,864.48 is: 161,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,744.64 : 398,611.92 = 107,864.48 : x
  2. Step 2: Convert to fraction form
    265,744.64/398,611.92 = 107,864.48/x
  3. Step 3: Cross multiply
    265,744.64x = 398,611.92 × 107,864.48
  4. Step 4: Simplify right side
    265,744.64x = 42,996,067,472.60
  5. Step 5: Solve for x
    x = 42,996,067,472.60/265,744.64
  6. Step 6: Final answer
    x = 161,794.67

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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.