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Finding the Fourth Proportional to 200,986.90, 301,825.95 and 142,234.90

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Solution

The fourth proportional to 200,986.90, 301,825.95 and 142,234.90 is: 213,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,986.90 : 301,825.95 = 142,234.90 : x
  2. Step 2: Convert to fraction form
    200,986.90/301,825.95 = 142,234.90/x
  3. Step 3: Cross multiply
    200,986.90x = 301,825.95 × 142,234.90
  4. Step 4: Simplify right side
    200,986.90x = 42,930,183,815.66
  5. Step 5: Solve for x
    x = 42,930,183,815.66/200,986.90
  6. Step 6: Final answer
    x = 213,596.93

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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.