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Finding the Fourth Proportional to 202,650.24, 303,929.13 and 76,303.80

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Solution

The fourth proportional to 202,650.24, 303,929.13 and 76,303.80 is: 114,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,650.24 : 303,929.13 = 76,303.80 : x
  2. Step 2: Convert to fraction form
    202,650.24/303,929.13 = 76,303.80/x
  3. Step 3: Cross multiply
    202,650.24x = 303,929.13 × 76,303.80
  4. Step 4: Simplify right side
    202,650.24x = 23,190,947,549.69
  5. Step 5: Solve for x
    x = 23,190,947,549.69/202,650.24
  6. Step 6: Final answer
    x = 114,438.29

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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.