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Finding the Fourth Proportional to 159,641.82, 239,500.26 and 54,461.16

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Solution

The fourth proportional to 159,641.82, 239,500.26 and 54,461.16 is: 81,704.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,641.82 : 239,500.26 = 54,461.16 : x
  2. Step 2: Convert to fraction form
    159,641.82/239,500.26 = 54,461.16/x
  3. Step 3: Cross multiply
    159,641.82x = 239,500.26 × 54,461.16
  4. Step 4: Simplify right side
    159,641.82x = 13,043,461,979.90
  5. Step 5: Solve for x
    x = 13,043,461,979.90/159,641.82
  6. Step 6: Final answer
    x = 81,704.54

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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.