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Finding the Fourth Proportional to 202,684.53, 279,758.22 and 116,654.10

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Solution

The fourth proportional to 202,684.53, 279,758.22 and 116,654.10 is: 161,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,684.53 : 279,758.22 = 116,654.10 : x
  2. Step 2: Convert to fraction form
    202,684.53/279,758.22 = 116,654.10/x
  3. Step 3: Cross multiply
    202,684.53x = 279,758.22 × 116,654.10
  4. Step 4: Simplify right side
    202,684.53x = 32,634,943,371.70
  5. Step 5: Solve for x
    x = 32,634,943,371.70/202,684.53
  6. Step 6: Final answer
    x = 161,013.49

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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.