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Finding the Fourth Proportional to 200,753.10, 301,032.45 and 111,912.30

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Solution

The fourth proportional to 200,753.10, 301,032.45 and 111,912.30 is: 167,814.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,753.10 : 301,032.45 = 111,912.30 : x
  2. Step 2: Convert to fraction form
    200,753.10/301,032.45 = 111,912.30/x
  3. Step 3: Cross multiply
    200,753.10x = 301,032.45 × 111,912.30
  4. Step 4: Simplify right side
    200,753.10x = 33,689,233,854.14
  5. Step 5: Solve for x
    x = 33,689,233,854.14/200,753.10
  6. Step 6: Final answer
    x = 167,814.26

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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.