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Finding the Fourth Proportional to 150,275.89, 207,378.77 and 85,743.43

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Solution

The fourth proportional to 150,275.89, 207,378.77 and 85,743.43 is: 118,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,275.89 : 207,378.77 = 85,743.43 : x
  2. Step 2: Convert to fraction form
    150,275.89/207,378.77 = 85,743.43/x
  3. Step 3: Cross multiply
    150,275.89x = 207,378.77 × 85,743.43
  4. Step 4: Simplify right side
    150,275.89x = 17,781,366,101.82
  5. Step 5: Solve for x
    x = 17,781,366,101.82/150,275.89
  6. Step 6: Final answer
    x = 118,324.81

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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.