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Finding the Fourth Proportional to 159,509.55, 239,264.28 and 47,181

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Solution

The fourth proportional to 159,509.55, 239,264.28 and 47,181 is: 70,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,509.55 : 239,264.28 = 47,181 : x
  2. Step 2: Convert to fraction form
    159,509.55/239,264.28 = 47,181/x
  3. Step 3: Cross multiply
    159,509.55x = 239,264.28 × 47,181
  4. Step 4: Simplify right side
    159,509.55x = 11,288,727,994.68
  5. Step 5: Solve for x
    x = 11,288,727,994.68/159,509.55
  6. Step 6: Final answer
    x = 70,771.49

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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.