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Finding the Fourth Proportional to 221,384.88, 332,254.26 and 114,799.14

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Solution

The fourth proportional to 221,384.88, 332,254.26 and 114,799.14 is: 172,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,384.88 : 332,254.26 = 114,799.14 : x
  2. Step 2: Convert to fraction form
    221,384.88/332,254.26 = 114,799.14/x
  3. Step 3: Cross multiply
    221,384.88x = 332,254.26 × 114,799.14
  4. Step 4: Simplify right side
    221,384.88x = 38,142,503,309.34
  5. Step 5: Solve for x
    x = 38,142,503,309.34/221,384.88
  6. Step 6: Final answer
    x = 172,290.46

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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.