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Finding the Fourth Proportional to 265,891.96, 398,564.34 and 116,104.24

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Solution

The fourth proportional to 265,891.96, 398,564.34 and 116,104.24 is: 174,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,891.96 : 398,564.34 = 116,104.24 : x
  2. Step 2: Convert to fraction form
    265,891.96/398,564.34 = 116,104.24/x
  3. Step 3: Cross multiply
    265,891.96x = 398,564.34 × 116,104.24
  4. Step 4: Simplify right side
    265,891.96x = 46,275,009,786.80
  5. Step 5: Solve for x
    x = 46,275,009,786.80/265,891.96
  6. Step 6: Final answer
    x = 174,036.89

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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.