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Finding the Fourth Proportional to 202,469, 279,424.50 and 113,062.28

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Solution

The fourth proportional to 202,469, 279,424.50 and 113,062.28 is: 156,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,469 : 279,424.50 = 113,062.28 : x
  2. Step 2: Convert to fraction form
    202,469/279,424.50 = 113,062.28/x
  3. Step 3: Cross multiply
    202,469x = 279,424.50 × 113,062.28
  4. Step 4: Simplify right side
    202,469x = 31,592,371,057.86
  5. Step 5: Solve for x
    x = 31,592,371,057.86/202,469
  6. Step 6: Final answer
    x = 156,035.60

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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.