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Finding the Fourth Proportional to 200,354.70, 300,054.98 and 115,936.95

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Solution

The fourth proportional to 200,354.70, 300,054.98 and 115,936.95 is: 173,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,354.70 : 300,054.98 = 115,936.95 : x
  2. Step 2: Convert to fraction form
    200,354.70/300,054.98 = 115,936.95/x
  3. Step 3: Cross multiply
    200,354.70x = 300,054.98 × 115,936.95
  4. Step 4: Simplify right side
    200,354.70x = 34,787,459,213.51
  5. Step 5: Solve for x
    x = 34,787,459,213.51/200,354.70
  6. Step 6: Final answer
    x = 173,629.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.