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Finding the Fourth Proportional to 221,464.84, 305,637.80 and 126,002.20

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Solution

The fourth proportional to 221,464.84, 305,637.80 and 126,002.20 is: 173,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,464.84 : 305,637.80 = 126,002.20 : x
  2. Step 2: Convert to fraction form
    221,464.84/305,637.80 = 126,002.20/x
  3. Step 3: Cross multiply
    221,464.84x = 305,637.80 × 126,002.20
  4. Step 4: Simplify right side
    221,464.84x = 38,511,035,203.16
  5. Step 5: Solve for x
    x = 38,511,035,203.16/221,464.84
  6. Step 6: Final answer
    x = 173,892.32

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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.