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Finding the Fourth Proportional to 159,856, 239,830.99 and 47,537.08

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Solution

The fourth proportional to 159,856, 239,830.99 and 47,537.08 is: 71,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,856 : 239,830.99 = 47,537.08 : x
  2. Step 2: Convert to fraction form
    159,856/239,830.99 = 47,537.08/x
  3. Step 3: Cross multiply
    159,856x = 239,830.99 × 47,537.08
  4. Step 4: Simplify right side
    159,856x = 11,400,864,958.11
  5. Step 5: Solve for x
    x = 11,400,864,958.11/159,856
  6. Step 6: Final answer
    x = 71,319.59

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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.