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Finding the Fourth Proportional to 207,299.80, 310,719.30 and 113,872.60

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Solution

The fourth proportional to 207,299.80, 310,719.30 and 113,872.60 is: 170,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,299.80 : 310,719.30 = 113,872.60 : x
  2. Step 2: Convert to fraction form
    207,299.80/310,719.30 = 113,872.60/x
  3. Step 3: Cross multiply
    207,299.80x = 310,719.30 × 113,872.60
  4. Step 4: Simplify right side
    207,299.80x = 35,382,414,561.18
  5. Step 5: Solve for x
    x = 35,382,414,561.18/207,299.80
  6. Step 6: Final answer
    x = 170,682.34

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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.