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Finding the Fourth Proportional to 204,782.26, 307,113.18 and 71,637.70

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Solution

The fourth proportional to 204,782.26, 307,113.18 and 71,637.70 is: 107,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,782.26 : 307,113.18 = 71,637.70 : x
  2. Step 2: Convert to fraction form
    204,782.26/307,113.18 = 71,637.70/x
  3. Step 3: Cross multiply
    204,782.26x = 307,113.18 × 71,637.70
  4. Step 4: Simplify right side
    204,782.26x = 22,000,881,854.89
  5. Step 5: Solve for x
    x = 22,000,881,854.89/204,782.26
  6. Step 6: Final answer
    x = 107,435.49

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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.