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Finding the Fourth Proportional to 122,006.64, 182,974.74 and 42,041.34

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Solution

The fourth proportional to 122,006.64, 182,974.74 and 42,041.34 is: 63,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,006.64 : 182,974.74 = 42,041.34 : x
  2. Step 2: Convert to fraction form
    122,006.64/182,974.74 = 42,041.34/x
  3. Step 3: Cross multiply
    122,006.64x = 182,974.74 × 42,041.34
  4. Step 4: Simplify right side
    122,006.64x = 7,692,503,255.75
  5. Step 5: Solve for x
    x = 7,692,503,255.75/122,006.64
  6. Step 6: Final answer
    x = 63,049.87

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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.