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Finding the Fourth Proportional to 200,661.14, 301,041.82 and 141,612.14

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Solution

The fourth proportional to 200,661.14, 301,041.82 and 141,612.14 is: 212,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,661.14 : 301,041.82 = 141,612.14 : x
  2. Step 2: Convert to fraction form
    200,661.14/301,041.82 = 141,612.14/x
  3. Step 3: Cross multiply
    200,661.14x = 301,041.82 × 141,612.14
  4. Step 4: Simplify right side
    200,661.14x = 42,631,174,146.43
  5. Step 5: Solve for x
    x = 42,631,174,146.43/200,661.14
  6. Step 6: Final answer
    x = 212,453.57

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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.