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Finding the Fourth Proportional to 159,838.82, 239,758.16 and 47,518.55

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Solution

The fourth proportional to 159,838.82, 239,758.16 and 47,518.55 is: 71,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,838.82 : 239,758.16 = 47,518.55 : x
  2. Step 2: Convert to fraction form
    159,838.82/239,758.16 = 47,518.55/x
  3. Step 3: Cross multiply
    159,838.82x = 239,758.16 × 47,518.55
  4. Step 4: Simplify right side
    159,838.82x = 11,392,958,677.48
  5. Step 5: Solve for x
    x = 11,392,958,677.48/159,838.82
  6. Step 6: Final answer
    x = 71,277.80

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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.