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Finding the Fourth Proportional to 122,110.21, 182,849.86 and 84,276.22

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Solution

The fourth proportional to 122,110.21, 182,849.86 and 84,276.22 is: 126,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,110.21 : 182,849.86 = 84,276.22 : x
  2. Step 2: Convert to fraction form
    122,110.21/182,849.86 = 84,276.22/x
  3. Step 3: Cross multiply
    122,110.21x = 182,849.86 × 84,276.22
  4. Step 4: Simplify right side
    122,110.21x = 15,409,894,545.34
  5. Step 5: Solve for x
    x = 15,409,894,545.34/122,110.21
  6. Step 6: Final answer
    x = 126,196.61

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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.