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Finding the Fourth Proportional to 202,809.41, 279,901.31 and 117,926.46

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Solution

The fourth proportional to 202,809.41, 279,901.31 and 117,926.46 is: 162,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,809.41 : 279,901.31 = 117,926.46 : x
  2. Step 2: Convert to fraction form
    202,809.41/279,901.31 = 117,926.46/x
  3. Step 3: Cross multiply
    202,809.41x = 279,901.31 × 117,926.46
  4. Step 4: Simplify right side
    202,809.41x = 33,007,770,637.66
  5. Step 5: Solve for x
    x = 33,007,770,637.66/202,809.41
  6. Step 6: Final answer
    x = 162,752.66

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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.