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Finding the Fourth Proportional to 221,342.28, 305,451.99 and 120,740.28

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Solution

The fourth proportional to 221,342.28, 305,451.99 and 120,740.28 is: 166,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,342.28 : 305,451.99 = 120,740.28 : x
  2. Step 2: Convert to fraction form
    221,342.28/305,451.99 = 120,740.28/x
  3. Step 3: Cross multiply
    221,342.28x = 305,451.99 × 120,740.28
  4. Step 4: Simplify right side
    221,342.28x = 36,880,358,799.16
  5. Step 5: Solve for x
    x = 36,880,358,799.16/221,342.28
  6. Step 6: Final answer
    x = 166,621.39

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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.