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Finding the Fourth Proportional to 115,875.40, 173,813.10 and 82,414.30

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Solution

The fourth proportional to 115,875.40, 173,813.10 and 82,414.30 is: 123,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,875.40 : 173,813.10 = 82,414.30 : x
  2. Step 2: Convert to fraction form
    115,875.40/173,813.10 = 82,414.30/x
  3. Step 3: Cross multiply
    115,875.40x = 173,813.10 × 82,414.30
  4. Step 4: Simplify right side
    115,875.40x = 14,324,684,967.33
  5. Step 5: Solve for x
    x = 14,324,684,967.33/115,875.40
  6. Step 6: Final answer
    x = 123,621.45

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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.