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Finding the Fourth Proportional to 159,553.28, 239,399.04 and 85,664

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Solution

The fourth proportional to 159,553.28, 239,399.04 and 85,664 is: 128,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,553.28 : 239,399.04 = 85,664 : x
  2. Step 2: Convert to fraction form
    159,553.28/239,399.04 = 85,664/x
  3. Step 3: Cross multiply
    159,553.28x = 239,399.04 × 85,664
  4. Step 4: Simplify right side
    159,553.28x = 20,507,879,362.56
  5. Step 5: Solve for x
    x = 20,507,879,362.56/159,553.28
  6. Step 6: Final answer
    x = 128,533.11

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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.