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Finding the Fourth Proportional to 92,202, 127,231.20 and 51,902.88

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Solution

The fourth proportional to 92,202, 127,231.20 and 51,902.88 is: 71,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,202 : 127,231.20 = 51,902.88 : x
  2. Step 2: Convert to fraction form
    92,202/127,231.20 = 51,902.88/x
  3. Step 3: Cross multiply
    92,202x = 127,231.20 × 51,902.88
  4. Step 4: Simplify right side
    92,202x = 6,603,665,705.86
  5. Step 5: Solve for x
    x = 6,603,665,705.86/92,202
  6. Step 6: Final answer
    x = 71,621.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.