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Finding the Fourth Proportional to 200,661.39, 301,042.19 and 141,612.39

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Solution

The fourth proportional to 200,661.39, 301,042.19 and 141,612.39 is: 212,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,661.39 : 301,042.19 = 141,612.39 : x
  2. Step 2: Convert to fraction form
    200,661.39/301,042.19 = 141,612.39/x
  3. Step 3: Cross multiply
    200,661.39x = 301,042.19 × 141,612.39
  4. Step 4: Simplify right side
    200,661.39x = 42,631,302,511.52
  5. Step 5: Solve for x
    x = 42,631,302,511.52/200,661.39
  6. Step 6: Final answer
    x = 212,453.94

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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.