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Finding the Fourth Proportional to 117,022.50, 174,889.62 and 85,498.20

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Solution

The fourth proportional to 117,022.50, 174,889.62 and 85,498.20 is: 127,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,022.50 : 174,889.62 = 85,498.20 : x
  2. Step 2: Convert to fraction form
    117,022.50/174,889.62 = 85,498.20/x
  3. Step 3: Cross multiply
    117,022.50x = 174,889.62 × 85,498.20
  4. Step 4: Simplify right side
    117,022.50x = 14,952,747,708.68
  5. Step 5: Solve for x
    x = 14,952,747,708.68/117,022.50
  6. Step 6: Final answer
    x = 127,776.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.