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Finding the Fourth Proportional to 109,701.70, 164,552.55 and 76,524.10

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Solution

The fourth proportional to 109,701.70, 164,552.55 and 76,524.10 is: 114,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,701.70 : 164,552.55 = 76,524.10 : x
  2. Step 2: Convert to fraction form
    109,701.70/164,552.55 = 76,524.10/x
  3. Step 3: Cross multiply
    109,701.70x = 164,552.55 × 76,524.10
  4. Step 4: Simplify right side
    109,701.70x = 12,592,235,791.46
  5. Step 5: Solve for x
    x = 12,592,235,791.46/109,701.70
  6. Step 6: Final answer
    x = 114,786.15

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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.