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Finding the Fourth Proportional to 83,705.36, 125,426.75 and 71,173.85

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Solution

The fourth proportional to 83,705.36, 125,426.75 and 71,173.85 is: 106,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,705.36 : 125,426.75 = 71,173.85 : x
  2. Step 2: Convert to fraction form
    83,705.36/125,426.75 = 71,173.85/x
  3. Step 3: Cross multiply
    83,705.36x = 125,426.75 × 71,173.85
  4. Step 4: Simplify right side
    83,705.36x = 8,927,103,707.48
  5. Step 5: Solve for x
    x = 8,927,103,707.48/83,705.36
  6. Step 6: Final answer
    x = 106,649.14

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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.