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Finding the Fourth Proportional to 194,758.62, 292,137.93 and 47,014.62

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Solution

The fourth proportional to 194,758.62, 292,137.93 and 47,014.62 is: 70,521.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,758.62 : 292,137.93 = 47,014.62 : x
  2. Step 2: Convert to fraction form
    194,758.62/292,137.93 = 47,014.62/x
  3. Step 3: Cross multiply
    194,758.62x = 292,137.93 × 47,014.62
  4. Step 4: Simplify right side
    194,758.62x = 13,734,753,766.54
  5. Step 5: Solve for x
    x = 13,734,753,766.54/194,758.62
  6. Step 6: Final answer
    x = 70,521.93

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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.