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Finding the Fourth Proportional to 200,693.52, 301,001.96 and 100,825.99

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Solution

The fourth proportional to 200,693.52, 301,001.96 and 100,825.99 is: 151,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,693.52 : 301,001.96 = 100,825.99 : x
  2. Step 2: Convert to fraction form
    200,693.52/301,001.96 = 100,825.99/x
  3. Step 3: Cross multiply
    200,693.52x = 301,001.96 × 100,825.99
  4. Step 4: Simplify right side
    200,693.52x = 30,348,820,108.50
  5. Step 5: Solve for x
    x = 30,348,820,108.50/200,693.52
  6. Step 6: Final answer
    x = 151,219.73

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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.