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Finding the Fourth Proportional to 203,500.90, 305,178.45 and 103,627.90

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Solution

The fourth proportional to 203,500.90, 305,178.45 and 103,627.90 is: 155,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,500.90 : 305,178.45 = 103,627.90 : x
  2. Step 2: Convert to fraction form
    203,500.90/305,178.45 = 103,627.90/x
  3. Step 3: Cross multiply
    203,500.90x = 305,178.45 × 103,627.90
  4. Step 4: Simplify right side
    203,500.90x = 31,625,001,898.76
  5. Step 5: Solve for x
    x = 31,625,001,898.76/203,500.90
  6. Step 6: Final answer
    x = 155,404.73

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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.