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Finding the Fourth Proportional to 119,304, 178,957.08 and 36,198

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Solution

The fourth proportional to 119,304, 178,957.08 and 36,198 is: 54,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,304 : 178,957.08 = 36,198 : x
  2. Step 2: Convert to fraction form
    119,304/178,957.08 = 36,198/x
  3. Step 3: Cross multiply
    119,304x = 178,957.08 × 36,198
  4. Step 4: Simplify right side
    119,304x = 6,477,888,381.84
  5. Step 5: Solve for x
    x = 6,477,888,381.84/119,304
  6. Step 6: Final answer
    x = 54,297.33

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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.