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Finding the Fourth Proportional to 199,532, 275,354.52 and 110,108

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Solution

The fourth proportional to 199,532, 275,354.52 and 110,108 is: 151,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,532 : 275,354.52 = 110,108 : x
  2. Step 2: Convert to fraction form
    199,532/275,354.52 = 110,108/x
  3. Step 3: Cross multiply
    199,532x = 275,354.52 × 110,108
  4. Step 4: Simplify right side
    199,532x = 30,318,735,488.16
  5. Step 5: Solve for x
    x = 30,318,735,488.16/199,532
  6. Step 6: Final answer
    x = 151,949.24

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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.