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Finding the Fourth Proportional to 150,233.77, 207,322.65 and 82,255.06

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Solution

The fourth proportional to 150,233.77, 207,322.65 and 82,255.06 is: 113,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,233.77 : 207,322.65 = 82,255.06 : x
  2. Step 2: Convert to fraction form
    150,233.77/207,322.65 = 82,255.06/x
  3. Step 3: Cross multiply
    150,233.77x = 207,322.65 × 82,255.06
  4. Step 4: Simplify right side
    150,233.77x = 17,053,337,015.11
  5. Step 5: Solve for x
    x = 17,053,337,015.11/150,233.77
  6. Step 6: Final answer
    x = 113,512.01

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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.