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Finding the Fourth Proportional to 188,116.38, 259,590.69 and 107,533.26

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Solution

The fourth proportional to 188,116.38, 259,590.69 and 107,533.26 is: 148,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,116.38 : 259,590.69 = 107,533.26 : x
  2. Step 2: Convert to fraction form
    188,116.38/259,590.69 = 107,533.26/x
  3. Step 3: Cross multiply
    188,116.38x = 259,590.69 × 107,533.26
  4. Step 4: Simplify right side
    188,116.38x = 27,914,633,161.35
  5. Step 5: Solve for x
    x = 27,914,633,161.35/188,116.38
  6. Step 6: Final answer
    x = 148,390.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.