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Finding the Fourth Proportional to 150,540.32, 207,754.98 and 83,472.32

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Solution

The fourth proportional to 150,540.32, 207,754.98 and 83,472.32 is: 115,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540.32 : 207,754.98 = 83,472.32 : x
  2. Step 2: Convert to fraction form
    150,540.32/207,754.98 = 83,472.32/x
  3. Step 3: Cross multiply
    150,540.32x = 207,754.98 × 83,472.32
  4. Step 4: Simplify right side
    150,540.32x = 17,341,790,378.52
  5. Step 5: Solve for x
    x = 17,341,790,378.52/150,540.32
  6. Step 6: Final answer
    x = 115,196.98

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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.