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Finding the Fourth Proportional to 227,308.56, 313,820.22 and 202,088.28

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Solution

The fourth proportional to 227,308.56, 313,820.22 and 202,088.28 is: 279,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,308.56 : 313,820.22 = 202,088.28 : x
  2. Step 2: Convert to fraction form
    227,308.56/313,820.22 = 202,088.28/x
  3. Step 3: Cross multiply
    227,308.56x = 313,820.22 × 202,088.28
  4. Step 4: Simplify right side
    227,308.56x = 63,419,388,489.02
  5. Step 5: Solve for x
    x = 63,419,388,489.02/227,308.56
  6. Step 6: Final answer
    x = 279,001.32

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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.