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Finding the Fourth Proportional to 102,052.71, 140,823.21 and 59,025.31

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Solution

The fourth proportional to 102,052.71, 140,823.21 and 59,025.31 is: 81,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052.71 : 140,823.21 = 59,025.31 : x
  2. Step 2: Convert to fraction form
    102,052.71/140,823.21 = 59,025.31/x
  3. Step 3: Cross multiply
    102,052.71x = 140,823.21 × 59,025.31
  4. Step 4: Simplify right side
    102,052.71x = 8,312,133,162.71
  5. Step 5: Solve for x
    x = 8,312,133,162.71/102,052.71
  6. Step 6: Final answer
    x = 81,449.41

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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.