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Finding the Fourth Proportional to 150,799.50, 208,103.31 and 83,731.50

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Solution

The fourth proportional to 150,799.50, 208,103.31 and 83,731.50 is: 115,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,799.50 : 208,103.31 = 83,731.50 : x
  2. Step 2: Convert to fraction form
    150,799.50/208,103.31 = 83,731.50/x
  3. Step 3: Cross multiply
    150,799.50x = 208,103.31 × 83,731.50
  4. Step 4: Simplify right side
    150,799.50x = 17,424,802,301.27
  5. Step 5: Solve for x
    x = 17,424,802,301.27/150,799.50
  6. Step 6: Final answer
    x = 115,549.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.