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Finding the Fourth Proportional to 159,737.22, 239,585.09 and 47,415.20

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Solution

The fourth proportional to 159,737.22, 239,585.09 and 47,415.20 is: 71,116.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,737.22 : 239,585.09 = 47,415.20 : x
  2. Step 2: Convert to fraction form
    159,737.22/239,585.09 = 47,415.20/x
  3. Step 3: Cross multiply
    159,737.22x = 239,585.09 × 47,415.20
  4. Step 4: Simplify right side
    159,737.22x = 11,359,973,524.37
  5. Step 5: Solve for x
    x = 11,359,973,524.37/159,737.22
  6. Step 6: Final answer
    x = 71,116.63

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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.