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Finding the Fourth Proportional to 182,382.80, 273,343.80 and 162,568.40

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Solution

The fourth proportional to 182,382.80, 273,343.80 and 162,568.40 is: 243,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,382.80 : 273,343.80 = 162,568.40 : x
  2. Step 2: Convert to fraction form
    182,382.80/273,343.80 = 162,568.40/x
  3. Step 3: Cross multiply
    182,382.80x = 273,343.80 × 162,568.40
  4. Step 4: Simplify right side
    182,382.80x = 44,437,064,215.92
  5. Step 5: Solve for x
    x = 44,437,064,215.92/182,382.80
  6. Step 6: Final answer
    x = 243,647.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.