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Finding the Fourth Proportional to 253,842.15, 380,782.36 and 85,362.96

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Solution

The fourth proportional to 253,842.15, 380,782.36 and 85,362.96 is: 128,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,842.15 : 380,782.36 = 85,362.96 : x
  2. Step 2: Convert to fraction form
    253,842.15/380,782.36 = 85,362.96/x
  3. Step 3: Cross multiply
    253,842.15x = 380,782.36 × 85,362.96
  4. Step 4: Simplify right side
    253,842.15x = 32,504,709,365.39
  5. Step 5: Solve for x
    x = 32,504,709,365.39/253,842.15
  6. Step 6: Final answer
    x = 128,050.87

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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.