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Finding the Fourth Proportional to 202,705.28, 279,757.62 and 117,822.36

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Solution

The fourth proportional to 202,705.28, 279,757.62 and 117,822.36 is: 162,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,705.28 : 279,757.62 = 117,822.36 : x
  2. Step 2: Convert to fraction form
    202,705.28/279,757.62 = 117,822.36/x
  3. Step 3: Cross multiply
    202,705.28x = 279,757.62 × 117,822.36
  4. Step 4: Simplify right side
    202,705.28x = 32,961,703,016.38
  5. Step 5: Solve for x
    x = 32,961,703,016.38/202,705.28
  6. Step 6: Final answer
    x = 162,609.00

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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.