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Finding the Fourth Proportional to 202,258.37, 278,998.70 and 129,635.39

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Solution

The fourth proportional to 202,258.37, 278,998.70 and 129,635.39 is: 178,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,258.37 : 278,998.70 = 129,635.39 : x
  2. Step 2: Convert to fraction form
    202,258.37/278,998.70 = 129,635.39/x
  3. Step 3: Cross multiply
    202,258.37x = 278,998.70 × 129,635.39
  4. Step 4: Simplify right side
    202,258.37x = 36,168,105,333.31
  5. Step 5: Solve for x
    x = 36,168,105,333.31/202,258.37
  6. Step 6: Final answer
    x = 178,821.30

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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.