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Finding the Fourth Proportional to 200,610.30, 300,672.45 and 116,208.30

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Solution

The fourth proportional to 200,610.30, 300,672.45 and 116,208.30 is: 174,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,610.30 : 300,672.45 = 116,208.30 : x
  2. Step 2: Convert to fraction form
    200,610.30/300,672.45 = 116,208.30/x
  3. Step 3: Cross multiply
    200,610.30x = 300,672.45 × 116,208.30
  4. Step 4: Simplify right side
    200,610.30x = 34,940,634,271.34
  5. Step 5: Solve for x
    x = 34,940,634,271.34/200,610.30
  6. Step 6: Final answer
    x = 174,171.69

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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.