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Finding the Fourth Proportional to 175,829, 263,755.66 and 70,647.88

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Solution

The fourth proportional to 175,829, 263,755.66 and 70,647.88 is: 105,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,829 : 263,755.66 = 70,647.88 : x
  2. Step 2: Convert to fraction form
    175,829/263,755.66 = 70,647.88/x
  3. Step 3: Cross multiply
    175,829x = 263,755.66 × 70,647.88
  4. Step 4: Simplify right side
    175,829x = 18,633,778,217.00
  5. Step 5: Solve for x
    x = 18,633,778,217.00/175,829
  6. Step 6: Final answer
    x = 105,976.71

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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.