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Finding the Fourth Proportional to 201,709.85, 302,452.76 and 93,520.98

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Solution

The fourth proportional to 201,709.85, 302,452.76 and 93,520.98 is: 140,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709.85 : 302,452.76 = 93,520.98 : x
  2. Step 2: Convert to fraction form
    201,709.85/302,452.76 = 93,520.98/x
  3. Step 3: Cross multiply
    201,709.85x = 302,452.76 × 93,520.98
  4. Step 4: Simplify right side
    201,709.85x = 28,285,678,752.71
  5. Step 5: Solve for x
    x = 28,285,678,752.71/201,709.85
  6. Step 6: Final answer
    x = 140,229.54

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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.