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Finding the Fourth Proportional to 102,343.94, 141,238.53 and 59,324.84

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Solution

The fourth proportional to 102,343.94, 141,238.53 and 59,324.84 is: 81,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,343.94 : 141,238.53 = 59,324.84 : x
  2. Step 2: Convert to fraction form
    102,343.94/141,238.53 = 59,324.84/x
  3. Step 3: Cross multiply
    102,343.94x = 141,238.53 × 59,324.84
  4. Step 4: Simplify right side
    102,343.94x = 8,378,952,487.89
  5. Step 5: Solve for x
    x = 8,378,952,487.89/102,343.94
  6. Step 6: Final answer
    x = 81,870.53

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