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Finding the Fourth Proportional to 340,057.44, 510,104.46 and 103,382.16

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Solution

The fourth proportional to 340,057.44, 510,104.46 and 103,382.16 is: 155,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,057.44 : 510,104.46 = 103,382.16 : x
  2. Step 2: Convert to fraction form
    340,057.44/510,104.46 = 103,382.16/x
  3. Step 3: Cross multiply
    340,057.44x = 510,104.46 × 103,382.16
  4. Step 4: Simplify right side
    340,057.44x = 52,735,700,900.43
  5. Step 5: Solve for x
    x = 52,735,700,900.43/340,057.44
  6. Step 6: Final answer
    x = 155,078.80

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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.