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Finding the Fourth Proportional to 141,940.68, 195,875.61 and 77,410.41

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Solution

The fourth proportional to 141,940.68, 195,875.61 and 77,410.41 is: 106,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,940.68 : 195,875.61 = 77,410.41 : x
  2. Step 2: Convert to fraction form
    141,940.68/195,875.61 = 77,410.41/x
  3. Step 3: Cross multiply
    141,940.68x = 195,875.61 × 77,410.41
  4. Step 4: Simplify right side
    141,940.68x = 15,162,811,279.10
  5. Step 5: Solve for x
    x = 15,162,811,279.10/141,940.68
  6. Step 6: Final answer
    x = 106,824.99

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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.