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Finding the Fourth Proportional to 202,649.74, 303,928.38 and 76,303.30

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Solution

The fourth proportional to 202,649.74, 303,928.38 and 76,303.30 is: 114,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,649.74 : 303,928.38 = 76,303.30 : x
  2. Step 2: Convert to fraction form
    202,649.74/303,928.38 = 76,303.30/x
  3. Step 3: Cross multiply
    202,649.74x = 303,928.38 × 76,303.30
  4. Step 4: Simplify right side
    202,649.74x = 23,190,738,357.65
  5. Step 5: Solve for x
    x = 23,190,738,357.65/202,649.74
  6. Step 6: Final answer
    x = 114,437.54

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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.