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Finding the Fourth Proportional to 253,856.40, 380,686.17 and 135,463.16

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Solution

The fourth proportional to 253,856.40, 380,686.17 and 135,463.16 is: 203,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,856.40 : 380,686.17 = 135,463.16 : x
  2. Step 2: Convert to fraction form
    253,856.40/380,686.17 = 135,463.16/x
  3. Step 3: Cross multiply
    253,856.40x = 380,686.17 × 135,463.16
  4. Step 4: Simplify right side
    253,856.40x = 51,568,949,653.07
  5. Step 5: Solve for x
    x = 51,568,949,653.07/253,856.40
  6. Step 6: Final answer
    x = 203,142.21

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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.