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Finding the Fourth Proportional to 260,681.45, 391,028.97 and 83,188.22

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Solution

The fourth proportional to 260,681.45, 391,028.97 and 83,188.22 is: 124,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,681.45 : 391,028.97 = 83,188.22 : x
  2. Step 2: Convert to fraction form
    260,681.45/391,028.97 = 83,188.22/x
  3. Step 3: Cross multiply
    260,681.45x = 391,028.97 × 83,188.22
  4. Step 4: Simplify right side
    260,681.45x = 32,529,003,982.73
  5. Step 5: Solve for x
    x = 32,529,003,982.73/260,681.45
  6. Step 6: Final answer
    x = 124,784.50

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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.