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Finding the Fourth Proportional to 150,511.70, 207,708.56 and 82,534.88

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Solution

The fourth proportional to 150,511.70, 207,708.56 and 82,534.88 is: 113,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,511.70 : 207,708.56 = 82,534.88 : x
  2. Step 2: Convert to fraction form
    150,511.70/207,708.56 = 82,534.88/x
  3. Step 3: Cross multiply
    150,511.70x = 207,708.56 × 82,534.88
  4. Step 4: Simplify right side
    150,511.70x = 17,143,199,623.36
  5. Step 5: Solve for x
    x = 17,143,199,623.36/150,511.70
  6. Step 6: Final answer
    x = 113,899.45

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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.