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Finding the Fourth Proportional to 83,214.22, 124,852.50 and 43,208.22

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Solution

The fourth proportional to 83,214.22, 124,852.50 and 43,208.22 is: 64,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,214.22 : 124,852.50 = 43,208.22 : x
  2. Step 2: Convert to fraction form
    83,214.22/124,852.50 = 43,208.22/x
  3. Step 3: Cross multiply
    83,214.22x = 124,852.50 × 43,208.22
  4. Step 4: Simplify right side
    83,214.22x = 5,394,654,287.55
  5. Step 5: Solve for x
    x = 5,394,654,287.55/83,214.22
  6. Step 6: Final answer
    x = 64,828.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.