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Finding the Fourth Proportional to 144,441.82, 198,913.89 and 119,058.04

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Solution

The fourth proportional to 144,441.82, 198,913.89 and 119,058.04 is: 163,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,441.82 : 198,913.89 = 119,058.04 : x
  2. Step 2: Convert to fraction form
    144,441.82/198,913.89 = 119,058.04/x
  3. Step 3: Cross multiply
    144,441.82x = 198,913.89 × 119,058.04
  4. Step 4: Simplify right side
    144,441.82x = 23,682,297,872.18
  5. Step 5: Solve for x
    x = 23,682,297,872.18/144,441.82
  6. Step 6: Final answer
    x = 163,957.35

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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.