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Finding the Fourth Proportional to 117,874.50, 176,816.61 and 34,768.50

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Solution

The fourth proportional to 117,874.50, 176,816.61 and 34,768.50 is: 52,154.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,874.50 : 176,816.61 = 34,768.50 : x
  2. Step 2: Convert to fraction form
    117,874.50/176,816.61 = 34,768.50/x
  3. Step 3: Cross multiply
    117,874.50x = 176,816.61 × 34,768.50
  4. Step 4: Simplify right side
    117,874.50x = 6,147,648,304.79
  5. Step 5: Solve for x
    x = 6,147,648,304.79/117,874.50
  6. Step 6: Final answer
    x = 52,154.18

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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.