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Finding the Fourth Proportional to 174,222.34, 261,236.31 and 85,284.34

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Solution

The fourth proportional to 174,222.34, 261,236.31 and 85,284.34 is: 127,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,222.34 : 261,236.31 = 85,284.34 : x
  2. Step 2: Convert to fraction form
    174,222.34/261,236.31 = 85,284.34/x
  3. Step 3: Cross multiply
    174,222.34x = 261,236.31 × 85,284.34
  4. Step 4: Simplify right side
    174,222.34x = 22,279,366,282.39
  5. Step 5: Solve for x
    x = 22,279,366,282.39/174,222.34
  6. Step 6: Final answer
    x = 127,878.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.