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Finding the Fourth Proportional to 202,166.70, 302,849.10 and 177,234.90

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Solution

The fourth proportional to 202,166.70, 302,849.10 and 177,234.90 is: 265,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166.70 : 302,849.10 = 177,234.90 : x
  2. Step 2: Convert to fraction form
    202,166.70/302,849.10 = 177,234.90/x
  3. Step 3: Cross multiply
    202,166.70x = 302,849.10 × 177,234.90
  4. Step 4: Simplify right side
    202,166.70x = 53,675,429,953.59
  5. Step 5: Solve for x
    x = 53,675,429,953.59/202,166.70
  6. Step 6: Final answer
    x = 265,500.85

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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.