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Finding the Fourth Proportional to 164,934.09, 247,234.68 and 65,039.22

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Solution

The fourth proportional to 164,934.09, 247,234.68 and 65,039.22 is: 97,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,934.09 : 247,234.68 = 65,039.22 : x
  2. Step 2: Convert to fraction form
    164,934.09/247,234.68 = 65,039.22/x
  3. Step 3: Cross multiply
    164,934.09x = 247,234.68 × 65,039.22
  4. Step 4: Simplify right side
    164,934.09x = 16,079,950,744.15
  5. Step 5: Solve for x
    x = 16,079,950,744.15/164,934.09
  6. Step 6: Final answer
    x = 97,493.19

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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.