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Finding the Fourth Proportional to 200,963.70, 301,424.76 and 101,083.14

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Solution

The fourth proportional to 200,963.70, 301,424.76 and 101,083.14 is: 151,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,963.70 : 301,424.76 = 101,083.14 : x
  2. Step 2: Convert to fraction form
    200,963.70/301,424.76 = 101,083.14/x
  3. Step 3: Cross multiply
    200,963.70x = 301,424.76 × 101,083.14
  4. Step 4: Simplify right side
    200,963.70x = 30,468,961,214.55
  5. Step 5: Solve for x
    x = 30,468,961,214.55/200,963.70
  6. Step 6: Final answer
    x = 151,614.25

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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.