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Finding the Fourth Proportional to 265,825.80, 398,809.10 and 116,001.80

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Solution

The fourth proportional to 265,825.80, 398,809.10 and 116,001.80 is: 174,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,825.80 : 398,809.10 = 116,001.80 : x
  2. Step 2: Convert to fraction form
    265,825.80/398,809.10 = 116,001.80/x
  3. Step 3: Cross multiply
    265,825.80x = 398,809.10 × 116,001.80
  4. Step 4: Simplify right side
    265,825.80x = 46,262,573,456.38
  5. Step 5: Solve for x
    x = 46,262,573,456.38/265,825.80
  6. Step 6: Final answer
    x = 174,033.42

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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.