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Finding the Fourth Proportional to 109,705.80, 164,564.10 and 57,217.80

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Solution

The fourth proportional to 109,705.80, 164,564.10 and 57,217.80 is: 85,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,705.80 : 164,564.10 = 57,217.80 : x
  2. Step 2: Convert to fraction form
    109,705.80/164,564.10 = 57,217.80/x
  3. Step 3: Cross multiply
    109,705.80x = 164,564.10 × 57,217.80
  4. Step 4: Simplify right side
    109,705.80x = 9,415,995,760.98
  5. Step 5: Solve for x
    x = 9,415,995,760.98/109,705.80
  6. Step 6: Final answer
    x = 85,829.52

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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.