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Finding the Fourth Proportional to 237,644.44, 327,949.14 and 130,221.16

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Solution

The fourth proportional to 237,644.44, 327,949.14 and 130,221.16 is: 179,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,644.44 : 327,949.14 = 130,221.16 : x
  2. Step 2: Convert to fraction form
    237,644.44/327,949.14 = 130,221.16/x
  3. Step 3: Cross multiply
    237,644.44x = 327,949.14 × 130,221.16
  4. Step 4: Simplify right side
    237,644.44x = 42,705,917,431.80
  5. Step 5: Solve for x
    x = 42,705,917,431.80/237,644.44
  6. Step 6: Final answer
    x = 179,705.10

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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.