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Finding the Fourth Proportional to 200,354.58, 300,540.98 and 111,541.12

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Solution

The fourth proportional to 200,354.58, 300,540.98 and 111,541.12 is: 167,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,354.58 : 300,540.98 = 111,541.12 : x
  2. Step 2: Convert to fraction form
    200,354.58/300,540.98 = 111,541.12/x
  3. Step 3: Cross multiply
    200,354.58x = 300,540.98 × 111,541.12
  4. Step 4: Simplify right side
    200,354.58x = 33,522,677,042.60
  5. Step 5: Solve for x
    x = 33,522,677,042.60/200,354.58
  6. Step 6: Final answer
    x = 167,316.75

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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.