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Finding the Fourth Proportional to 265,362.21, 398,044.67 and 75,844.98

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Solution

The fourth proportional to 265,362.21, 398,044.67 and 75,844.98 is: 113,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,362.21 : 398,044.67 = 75,844.98 : x
  2. Step 2: Convert to fraction form
    265,362.21/398,044.67 = 75,844.98/x
  3. Step 3: Cross multiply
    265,362.21x = 398,044.67 × 75,844.98
  4. Step 4: Simplify right side
    265,362.21x = 30,189,689,656.03
  5. Step 5: Solve for x
    x = 30,189,689,656.03/265,362.21
  6. Step 6: Final answer
    x = 113,767.86

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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.