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Finding the Fourth Proportional to 202,884, 280,000.84 and 116,845.80

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Solution

The fourth proportional to 202,884, 280,000.84 and 116,845.80 is: 161,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,884 : 280,000.84 = 116,845.80 : x
  2. Step 2: Convert to fraction form
    202,884/280,000.84 = 116,845.80/x
  3. Step 3: Cross multiply
    202,884x = 280,000.84 × 116,845.80
  4. Step 4: Simplify right side
    202,884x = 32,716,922,150.47
  5. Step 5: Solve for x
    x = 32,716,922,150.47/202,884
  6. Step 6: Final answer
    x = 161,259.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.