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Finding the Fourth Proportional to 159,584.34, 239,411.70 and 47,273.40

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Solution

The fourth proportional to 159,584.34, 239,411.70 and 47,273.40 is: 70,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,584.34 : 239,411.70 = 47,273.40 : x
  2. Step 2: Convert to fraction form
    159,584.34/239,411.70 = 47,273.40/x
  3. Step 3: Cross multiply
    159,584.34x = 239,411.70 × 47,273.40
  4. Step 4: Simplify right side
    159,584.34x = 11,317,805,058.78
  5. Step 5: Solve for x
    x = 11,317,805,058.78/159,584.34
  6. Step 6: Final answer
    x = 70,920.52

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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.