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Finding the Fourth Proportional to 140,165.98, 193,454.13 and 83,581

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Solution

The fourth proportional to 140,165.98, 193,454.13 and 83,581 is: 115,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,165.98 : 193,454.13 = 83,581 : x
  2. Step 2: Convert to fraction form
    140,165.98/193,454.13 = 83,581/x
  3. Step 3: Cross multiply
    140,165.98x = 193,454.13 × 83,581
  4. Step 4: Simplify right side
    140,165.98x = 16,169,089,639.53
  5. Step 5: Solve for x
    x = 16,169,089,639.53/140,165.98
  6. Step 6: Final answer
    x = 115,356.73

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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.