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Finding the Fourth Proportional to 145,238.31, 217,888.44 and 50,471.34

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Solution

The fourth proportional to 145,238.31, 217,888.44 and 50,471.34 is: 75,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,238.31 : 217,888.44 = 50,471.34 : x
  2. Step 2: Convert to fraction form
    145,238.31/217,888.44 = 50,471.34/x
  3. Step 3: Cross multiply
    145,238.31x = 217,888.44 × 50,471.34
  4. Step 4: Simplify right side
    145,238.31x = 10,997,121,537.31
  5. Step 5: Solve for x
    x = 10,997,121,537.31/145,238.31
  6. Step 6: Final answer
    x = 75,717.77

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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.