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Finding the Fourth Proportional to 114,757.44, 172,097.46 and 43,663.20

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Solution

The fourth proportional to 114,757.44, 172,097.46 and 43,663.20 is: 65,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,757.44 : 172,097.46 = 43,663.20 : x
  2. Step 2: Convert to fraction form
    114,757.44/172,097.46 = 43,663.20/x
  3. Step 3: Cross multiply
    114,757.44x = 172,097.46 × 43,663.20
  4. Step 4: Simplify right side
    114,757.44x = 7,514,325,815.47
  5. Step 5: Solve for x
    x = 7,514,325,815.47/114,757.44
  6. Step 6: Final answer
    x = 65,480.08

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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.