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Finding the Fourth Proportional to 107,706.98, 161,417.90 and 82,651.26

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Solution

The fourth proportional to 107,706.98, 161,417.90 and 82,651.26 is: 123,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706.98 : 161,417.90 = 82,651.26 : x
  2. Step 2: Convert to fraction form
    107,706.98/161,417.90 = 82,651.26/x
  3. Step 3: Cross multiply
    107,706.98x = 161,417.90 × 82,651.26
  4. Step 4: Simplify right side
    107,706.98x = 13,341,392,821.55
  5. Step 5: Solve for x
    x = 13,341,392,821.55/107,706.98
  6. Step 6: Final answer
    x = 123,867.49

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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.