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Finding the Fourth Proportional to 150,499.26, 207,698.31 and 83,431.26

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Solution

The fourth proportional to 150,499.26, 207,698.31 and 83,431.26 is: 115,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,499.26 : 207,698.31 = 83,431.26 : x
  2. Step 2: Convert to fraction form
    150,499.26/207,698.31 = 83,431.26/x
  3. Step 3: Cross multiply
    150,499.26x = 207,698.31 × 83,431.26
  4. Step 4: Simplify right side
    150,499.26x = 17,328,531,703.17
  5. Step 5: Solve for x
    x = 17,328,531,703.17/150,499.26
  6. Step 6: Final answer
    x = 115,140.31

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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.