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Finding the Fourth Proportional to 182,363.20, 273,517.44 and 57,688

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Solution

The fourth proportional to 182,363.20, 273,517.44 and 57,688 is: 86,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,363.20 : 273,517.44 = 57,688 : x
  2. Step 2: Convert to fraction form
    182,363.20/273,517.44 = 57,688/x
  3. Step 3: Cross multiply
    182,363.20x = 273,517.44 × 57,688
  4. Step 4: Simplify right side
    182,363.20x = 15,778,674,078.72
  5. Step 5: Solve for x
    x = 15,778,674,078.72/182,363.20
  6. Step 6: Final answer
    x = 86,523.35

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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.