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Finding the Fourth Proportional to 202,311.44, 279,133.80 and 130,694.48

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Solution

The fourth proportional to 202,311.44, 279,133.80 and 130,694.48 is: 180,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,311.44 : 279,133.80 = 130,694.48 : x
  2. Step 2: Convert to fraction form
    202,311.44/279,133.80 = 130,694.48/x
  3. Step 3: Cross multiply
    202,311.44x = 279,133.80 × 130,694.48
  4. Step 4: Simplify right side
    202,311.44x = 36,481,246,841.42
  5. Step 5: Solve for x
    x = 36,481,246,841.42/202,311.44
  6. Step 6: Final answer
    x = 180,322.21

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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.