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Finding the Fourth Proportional to 202,464, 279,400.34 and 117,586.53

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Solution

The fourth proportional to 202,464, 279,400.34 and 117,586.53 is: 162,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464 : 279,400.34 = 117,586.53 : x
  2. Step 2: Convert to fraction form
    202,464/279,400.34 = 117,586.53/x
  3. Step 3: Cross multiply
    202,464x = 279,400.34 × 117,586.53
  4. Step 4: Simplify right side
    202,464x = 32,853,716,755.39
  5. Step 5: Solve for x
    x = 32,853,716,755.39/202,464
  6. Step 6: Final answer
    x = 162,269.42

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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.