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Finding the Fourth Proportional to 200,552.66, 300,495.46 and 141,263.09

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Solution

The fourth proportional to 200,552.66, 300,495.46 and 141,263.09 is: 211,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,552.66 : 300,495.46 = 141,263.09 : x
  2. Step 2: Convert to fraction form
    200,552.66/300,495.46 = 141,263.09/x
  3. Step 3: Cross multiply
    200,552.66x = 300,495.46 × 141,263.09
  4. Step 4: Simplify right side
    200,552.66x = 42,448,917,210.57
  5. Step 5: Solve for x
    x = 42,448,917,210.57/200,552.66
  6. Step 6: Final answer
    x = 211,659.71

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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.