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Finding the Fourth Proportional to 202,161.60, 303,315.30 and 194,871.60

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Solution

The fourth proportional to 202,161.60, 303,315.30 and 194,871.60 is: 292,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161.60 : 303,315.30 = 194,871.60 : x
  2. Step 2: Convert to fraction form
    202,161.60/303,315.30 = 194,871.60/x
  3. Step 3: Cross multiply
    202,161.60x = 303,315.30 × 194,871.60
  4. Step 4: Simplify right side
    202,161.60x = 59,107,537,815.48
  5. Step 5: Solve for x
    x = 59,107,537,815.48/202,161.60
  6. Step 6: Final answer
    x = 292,377.67

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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.