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Finding the Fourth Proportional to 202,199.60, 303,372.30 and 194,909.60

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Solution

The fourth proportional to 202,199.60, 303,372.30 and 194,909.60 is: 292,434.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,199.60 : 303,372.30 = 194,909.60 : x
  2. Step 2: Convert to fraction form
    202,199.60/303,372.30 = 194,909.60/x
  3. Step 3: Cross multiply
    202,199.60x = 303,372.30 × 194,909.60
  4. Step 4: Simplify right side
    202,199.60x = 59,130,173,644.08
  5. Step 5: Solve for x
    x = 59,130,173,644.08/202,199.60
  6. Step 6: Final answer
    x = 292,434.67

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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.