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Finding the Fourth Proportional to 231,381.10, 347,099.46 and 81,590.50

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Solution

The fourth proportional to 231,381.10, 347,099.46 and 81,590.50 is: 122,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,381.10 : 347,099.46 = 81,590.50 : x
  2. Step 2: Convert to fraction form
    231,381.10/347,099.46 = 81,590.50/x
  3. Step 3: Cross multiply
    231,381.10x = 347,099.46 × 81,590.50
  4. Step 4: Simplify right side
    231,381.10x = 28,320,018,491.13
  5. Step 5: Solve for x
    x = 28,320,018,491.13/231,381.10
  6. Step 6: Final answer
    x = 122,395.56

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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.