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Finding the Fourth Proportional to 159,894.42, 239,799.81 and 47,544.38

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Solution

The fourth proportional to 159,894.42, 239,799.81 and 47,544.38 is: 71,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,894.42 : 239,799.81 = 47,544.38 : x
  2. Step 2: Convert to fraction form
    159,894.42/239,799.81 = 47,544.38/x
  3. Step 3: Cross multiply
    159,894.42x = 239,799.81 × 47,544.38
  4. Step 4: Simplify right side
    159,894.42x = 11,401,133,290.57
  5. Step 5: Solve for x
    x = 11,401,133,290.57/159,894.42
  6. Step 6: Final answer
    x = 71,304.13

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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.