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Finding the Fourth Proportional to 199,353, 275,107.14 and 109,929

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Solution

The fourth proportional to 199,353, 275,107.14 and 109,929 is: 151,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,353 : 275,107.14 = 109,929 : x
  2. Step 2: Convert to fraction form
    199,353/275,107.14 = 109,929/x
  3. Step 3: Cross multiply
    199,353x = 275,107.14 × 109,929
  4. Step 4: Simplify right side
    199,353x = 30,242,252,793.06
  5. Step 5: Solve for x
    x = 30,242,252,793.06/199,353
  6. Step 6: Final answer
    x = 151,702.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.