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Finding the Fourth Proportional to 202,605.84, 279,594.99 and 111,968.10

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Solution

The fourth proportional to 202,605.84, 279,594.99 and 111,968.10 is: 154,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,605.84 : 279,594.99 = 111,968.10 : x
  2. Step 2: Convert to fraction form
    202,605.84/279,594.99 = 111,968.10/x
  3. Step 3: Cross multiply
    202,605.84x = 279,594.99 × 111,968.10
  4. Step 4: Simplify right side
    202,605.84x = 31,305,719,799.82
  5. Step 5: Solve for x
    x = 31,305,719,799.82/202,605.84
  6. Step 6: Final answer
    x = 154,515.39

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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.