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Finding the Fourth Proportional to 159,906.51, 239,830.89 and 41,570.57

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Solution

The fourth proportional to 159,906.51, 239,830.89 and 41,570.57 is: 62,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,906.51 : 239,830.89 = 41,570.57 : x
  2. Step 2: Convert to fraction form
    159,906.51/239,830.89 = 41,570.57/x
  3. Step 3: Cross multiply
    159,906.51x = 239,830.89 × 41,570.57
  4. Step 4: Simplify right side
    159,906.51x = 9,969,905,601.75
  5. Step 5: Solve for x
    x = 9,969,905,601.75/159,906.51
  6. Step 6: Final answer
    x = 62,348.34

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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.