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Finding the Fourth Proportional to 101,193.36, 151,777.02 and 31,066.80

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Solution

The fourth proportional to 101,193.36, 151,777.02 and 31,066.80 is: 46,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,193.36 : 151,777.02 = 31,066.80 : x
  2. Step 2: Convert to fraction form
    101,193.36/151,777.02 = 31,066.80/x
  3. Step 3: Cross multiply
    101,193.36x = 151,777.02 × 31,066.80
  4. Step 4: Simplify right side
    101,193.36x = 4,715,226,324.94
  5. Step 5: Solve for x
    x = 4,715,226,324.94/101,193.36
  6. Step 6: Final answer
    x = 46,596.20

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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.