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Finding the Fourth Proportional to 159,903.30, 239,813.14 and 47,553.27

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Solution

The fourth proportional to 159,903.30, 239,813.14 and 47,553.27 is: 71,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,903.30 : 239,813.14 = 47,553.27 : x
  2. Step 2: Convert to fraction form
    159,903.30/239,813.14 = 47,553.27/x
  3. Step 3: Cross multiply
    159,903.30x = 239,813.14 × 47,553.27
  4. Step 4: Simplify right side
    159,903.30x = 11,403,898,995.97
  5. Step 5: Solve for x
    x = 11,403,898,995.97/159,903.30
  6. Step 6: Final answer
    x = 71,317.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.