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Finding the Fourth Proportional to 202,586.20, 303,684.90 and 157,582.60

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Solution

The fourth proportional to 202,586.20, 303,684.90 and 157,582.60 is: 236,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,586.20 : 303,684.90 = 157,582.60 : x
  2. Step 2: Convert to fraction form
    202,586.20/303,684.90 = 157,582.60/x
  3. Step 3: Cross multiply
    202,586.20x = 303,684.90 × 157,582.60
  4. Step 4: Simplify right side
    202,586.20x = 47,855,456,122.74
  5. Step 5: Solve for x
    x = 47,855,456,122.74/202,586.20
  6. Step 6: Final answer
    x = 236,222.69

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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.