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Finding the Fourth Proportional to 114,083.24, 171,147.74 and 35,194.50

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Solution

The fourth proportional to 114,083.24, 171,147.74 and 35,194.50 is: 52,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,083.24 : 171,147.74 = 35,194.50 : x
  2. Step 2: Convert to fraction form
    114,083.24/171,147.74 = 35,194.50/x
  3. Step 3: Cross multiply
    114,083.24x = 171,147.74 × 35,194.50
  4. Step 4: Simplify right side
    114,083.24x = 6,023,458,959.46
  5. Step 5: Solve for x
    x = 6,023,458,959.46/114,083.24
  6. Step 6: Final answer
    x = 52,798.81

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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.