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Finding the Fourth Proportional to 202,718.58, 279,796.05 and 117,884.58

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Solution

The fourth proportional to 202,718.58, 279,796.05 and 117,884.58 is: 162,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,718.58 : 279,796.05 = 117,884.58 : x
  2. Step 2: Convert to fraction form
    202,718.58/279,796.05 = 117,884.58/x
  3. Step 3: Cross multiply
    202,718.58x = 279,796.05 × 117,884.58
  4. Step 4: Simplify right side
    202,718.58x = 32,983,639,839.91
  5. Step 5: Solve for x
    x = 32,983,639,839.91/202,718.58
  6. Step 6: Final answer
    x = 162,706.55

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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.