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Finding the Fourth Proportional to 158,609, 237,913.68 and 47,801

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Solution

The fourth proportional to 158,609, 237,913.68 and 47,801 is: 71,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,609 : 237,913.68 = 47,801 : x
  2. Step 2: Convert to fraction form
    158,609/237,913.68 = 47,801/x
  3. Step 3: Cross multiply
    158,609x = 237,913.68 × 47,801
  4. Step 4: Simplify right side
    158,609x = 11,372,511,817.68
  5. Step 5: Solve for x
    x = 11,372,511,817.68/158,609
  6. Step 6: Final answer
    x = 71,701.55

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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.