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Finding the Fourth Proportional to 221,026.20, 331,712.10 and 102,712.20

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Solution

The fourth proportional to 221,026.20, 331,712.10 and 102,712.20 is: 154,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,026.20 : 331,712.10 = 102,712.20 : x
  2. Step 2: Convert to fraction form
    221,026.20/331,712.10 = 102,712.20/x
  3. Step 3: Cross multiply
    221,026.20x = 331,712.10 × 102,712.20
  4. Step 4: Simplify right side
    221,026.20x = 34,070,879,557.62
  5. Step 5: Solve for x
    x = 34,070,879,557.62/221,026.20
  6. Step 6: Final answer
    x = 154,148.60

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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.