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Finding the Fourth Proportional to 188,279.62, 259,816.44 and 106,595.16

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Solution

The fourth proportional to 188,279.62, 259,816.44 and 106,595.16 is: 147,095.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,279.62 : 259,816.44 = 106,595.16 : x
  2. Step 2: Convert to fraction form
    188,279.62/259,816.44 = 106,595.16/x
  3. Step 3: Cross multiply
    188,279.62x = 259,816.44 × 106,595.16
  4. Step 4: Simplify right side
    188,279.62x = 27,695,174,992.43
  5. Step 5: Solve for x
    x = 27,695,174,992.43/188,279.62
  6. Step 6: Final answer
    x = 147,095.98

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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.