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Finding the Fourth Proportional to 159,367.34, 239,051.28 and 54,194.78

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Solution

The fourth proportional to 159,367.34, 239,051.28 and 54,194.78 is: 81,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,367.34 : 239,051.28 = 54,194.78 : x
  2. Step 2: Convert to fraction form
    159,367.34/239,051.28 = 54,194.78/x
  3. Step 3: Cross multiply
    159,367.34x = 239,051.28 × 54,194.78
  4. Step 4: Simplify right side
    159,367.34x = 12,955,331,528.32
  5. Step 5: Solve for x
    x = 12,955,331,528.32/159,367.34
  6. Step 6: Final answer
    x = 81,292.26

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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.