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Finding the Fourth Proportional to 159,292.29, 238,804.51 and 106,540.77

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Solution

The fourth proportional to 159,292.29, 238,804.51 and 106,540.77 is: 159,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,292.29 : 238,804.51 = 106,540.77 : x
  2. Step 2: Convert to fraction form
    159,292.29/238,804.51 = 106,540.77/x
  3. Step 3: Cross multiply
    159,292.29x = 238,804.51 × 106,540.77
  4. Step 4: Simplify right side
    159,292.29x = 25,442,416,374.87
  5. Step 5: Solve for x
    x = 25,442,416,374.87/159,292.29
  6. Step 6: Final answer
    x = 159,721.58

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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.