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Finding the Fourth Proportional to 265,258.10, 397,891.29 and 147,676.76

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Solution

The fourth proportional to 265,258.10, 397,891.29 and 147,676.76 is: 221,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,258.10 : 397,891.29 = 147,676.76 : x
  2. Step 2: Convert to fraction form
    265,258.10/397,891.29 = 147,676.76/x
  3. Step 3: Cross multiply
    265,258.10x = 397,891.29 × 147,676.76
  4. Step 4: Simplify right side
    265,258.10x = 58,759,296,539.42
  5. Step 5: Solve for x
    x = 58,759,296,539.42/265,258.10
  6. Step 6: Final answer
    x = 221,517.44

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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.