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Finding the Fourth Proportional to 208,563.45, 312,845.17 and 96,210.43

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Solution

The fourth proportional to 208,563.45, 312,845.17 and 96,210.43 is: 144,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.45 : 312,845.17 = 96,210.43 : x
  2. Step 2: Convert to fraction form
    208,563.45/312,845.17 = 96,210.43/x
  3. Step 3: Cross multiply
    208,563.45x = 312,845.17 × 96,210.43
  4. Step 4: Simplify right side
    208,563.45x = 30,098,967,464.18
  5. Step 5: Solve for x
    x = 30,098,967,464.18/208,563.45
  6. Step 6: Final answer
    x = 144,315.64

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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.