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Finding the Fourth Proportional to 159,863.31, 239,743.04 and 53,218.62

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Solution

The fourth proportional to 159,863.31, 239,743.04 and 53,218.62 is: 79,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,863.31 : 239,743.04 = 53,218.62 : x
  2. Step 2: Convert to fraction form
    159,863.31/239,743.04 = 53,218.62/x
  3. Step 3: Cross multiply
    159,863.31x = 239,743.04 × 53,218.62
  4. Step 4: Simplify right side
    159,863.31x = 12,758,793,743.40
  5. Step 5: Solve for x
    x = 12,758,793,743.40/159,863.31
  6. Step 6: Final answer
    x = 79,810.64

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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.