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Finding the Fourth Proportional to 194,902.20, 292,353.32 and 47,158.20

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Solution

The fourth proportional to 194,902.20, 292,353.32 and 47,158.20 is: 70,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,902.20 : 292,353.32 = 47,158.20 : x
  2. Step 2: Convert to fraction form
    194,902.20/292,353.32 = 47,158.20/x
  3. Step 3: Cross multiply
    194,902.20x = 292,353.32 × 47,158.20
  4. Step 4: Simplify right side
    194,902.20x = 13,786,856,335.22
  5. Step 5: Solve for x
    x = 13,786,856,335.22/194,902.20
  6. Step 6: Final answer
    x = 70,737.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.