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Finding the Fourth Proportional to 231,477.14, 347,243.49 and 81,686.50

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Solution

The fourth proportional to 231,477.14, 347,243.49 and 81,686.50 is: 122,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,477.14 : 347,243.49 = 81,686.50 : x
  2. Step 2: Convert to fraction form
    231,477.14/347,243.49 = 81,686.50/x
  3. Step 3: Cross multiply
    231,477.14x = 347,243.49 × 81,686.50
  4. Step 4: Simplify right side
    231,477.14x = 28,365,105,345.89
  5. Step 5: Solve for x
    x = 28,365,105,345.89/231,477.14
  6. Step 6: Final answer
    x = 122,539.55

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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.