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Finding the Fourth Proportional to 140,902.50, 211,381.38 and 52,156.76

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Solution

The fourth proportional to 140,902.50, 211,381.38 and 52,156.76 is: 78,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,902.50 : 211,381.38 = 52,156.76 : x
  2. Step 2: Convert to fraction form
    140,902.50/211,381.38 = 52,156.76/x
  3. Step 3: Cross multiply
    140,902.50x = 211,381.38 × 52,156.76
  4. Step 4: Simplify right side
    140,902.50x = 11,024,967,905.13
  5. Step 5: Solve for x
    x = 11,024,967,905.13/140,902.50
  6. Step 6: Final answer
    x = 78,245.37

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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.