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Finding the Fourth Proportional to 202,427, 279,349.28 and 113,003

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Solution

The fourth proportional to 202,427, 279,349.28 and 113,003 is: 155,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,427 : 279,349.28 = 113,003 : x
  2. Step 2: Convert to fraction form
    202,427/279,349.28 = 113,003/x
  3. Step 3: Cross multiply
    202,427x = 279,349.28 × 113,003
  4. Step 4: Simplify right side
    202,427x = 31,567,306,687.84
  5. Step 5: Solve for x
    x = 31,567,306,687.84/202,427
  6. Step 6: Final answer
    x = 155,944.15

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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.