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Finding the Fourth Proportional to 202,164.70, 302,846.10 and 177,232.90

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Solution

The fourth proportional to 202,164.70, 302,846.10 and 177,232.90 is: 265,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164.70 : 302,846.10 = 177,232.90 : x
  2. Step 2: Convert to fraction form
    202,164.70/302,846.10 = 177,232.90/x
  3. Step 3: Cross multiply
    202,164.70x = 302,846.10 × 177,232.90
  4. Step 4: Simplify right side
    202,164.70x = 53,674,292,556.69
  5. Step 5: Solve for x
    x = 53,674,292,556.69/202,164.70
  6. Step 6: Final answer
    x = 265,497.85

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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.