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Finding the Fourth Proportional to 150,435.96, 207,601.74 and 83,367.96

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Solution

The fourth proportional to 150,435.96, 207,601.74 and 83,367.96 is: 115,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,435.96 : 207,601.74 = 83,367.96 : x
  2. Step 2: Convert to fraction form
    150,435.96/207,601.74 = 83,367.96/x
  3. Step 3: Cross multiply
    150,435.96x = 207,601.74 × 83,367.96
  4. Step 4: Simplify right side
    150,435.96x = 17,307,333,556.25
  5. Step 5: Solve for x
    x = 17,307,333,556.25/150,435.96
  6. Step 6: Final answer
    x = 115,047.85

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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.