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Finding the Fourth Proportional to 159,782.76, 239,590.71 and 47,447.51

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Solution

The fourth proportional to 159,782.76, 239,590.71 and 47,447.51 is: 71,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,782.76 : 239,590.71 = 47,447.51 : x
  2. Step 2: Convert to fraction form
    159,782.76/239,590.71 = 47,447.51/x
  3. Step 3: Cross multiply
    159,782.76x = 239,590.71 × 47,447.51
  4. Step 4: Simplify right side
    159,782.76x = 11,367,981,410.68
  5. Step 5: Solve for x
    x = 11,367,981,410.68/159,782.76
  6. Step 6: Final answer
    x = 71,146.48

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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.