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Finding the Fourth Proportional to 199,292.52, 275,100.46 and 146,000.82

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Solution

The fourth proportional to 199,292.52, 275,100.46 and 146,000.82 is: 201,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,292.52 : 275,100.46 = 146,000.82 : x
  2. Step 2: Convert to fraction form
    199,292.52/275,100.46 = 146,000.82/x
  3. Step 3: Cross multiply
    199,292.52x = 275,100.46 × 146,000.82
  4. Step 4: Simplify right side
    199,292.52x = 40,164,892,742.38
  5. Step 5: Solve for x
    x = 40,164,892,742.38/199,292.52
  6. Step 6: Final answer
    x = 201,537.38

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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.