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Finding the Fourth Proportional to 140,183.64, 193,456.14 and 76,527

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Solution

The fourth proportional to 140,183.64, 193,456.14 and 76,527 is: 105,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,183.64 : 193,456.14 = 76,527 : x
  2. Step 2: Convert to fraction form
    140,183.64/193,456.14 = 76,527/x
  3. Step 3: Cross multiply
    140,183.64x = 193,456.14 × 76,527
  4. Step 4: Simplify right side
    140,183.64x = 14,804,618,025.78
  5. Step 5: Solve for x
    x = 14,804,618,025.78/140,183.64
  6. Step 6: Final answer
    x = 105,608.74

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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.