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Finding the Fourth Proportional to 276,123.48, 413,643.92 and 143,091

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Solution

The fourth proportional to 276,123.48, 413,643.92 and 143,091 is: 214,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,123.48 : 413,643.92 = 143,091 : x
  2. Step 2: Convert to fraction form
    276,123.48/413,643.92 = 143,091/x
  3. Step 3: Cross multiply
    276,123.48x = 413,643.92 × 143,091
  4. Step 4: Simplify right side
    276,123.48x = 59,188,722,156.72
  5. Step 5: Solve for x
    x = 59,188,722,156.72/276,123.48
  6. Step 6: Final answer
    x = 214,355.99

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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.