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Finding the Fourth Proportional to 265,890.96, 398,562.84 and 116,103.24

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Solution

The fourth proportional to 265,890.96, 398,562.84 and 116,103.24 is: 174,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,890.96 : 398,562.84 = 116,103.24 : x
  2. Step 2: Convert to fraction form
    265,890.96/398,562.84 = 116,103.24/x
  3. Step 3: Cross multiply
    265,890.96x = 398,562.84 × 116,103.24
  4. Step 4: Simplify right side
    265,890.96x = 46,274,437,067.60
  5. Step 5: Solve for x
    x = 46,274,437,067.60/265,890.96
  6. Step 6: Final answer
    x = 174,035.39

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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.