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Finding the Fourth Proportional to 150,359.94, 207,460.17 and 83,291.94

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Solution

The fourth proportional to 150,359.94, 207,460.17 and 83,291.94 is: 114,922.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,359.94 : 207,460.17 = 83,291.94 : x
  2. Step 2: Convert to fraction form
    150,359.94/207,460.17 = 83,291.94/x
  3. Step 3: Cross multiply
    150,359.94x = 207,460.17 × 83,291.94
  4. Step 4: Simplify right side
    150,359.94x = 17,279,760,032.03
  5. Step 5: Solve for x
    x = 17,279,760,032.03/150,359.94
  6. Step 6: Final answer
    x = 114,922.63

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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.