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Finding the Fourth Proportional to 202,598.85, 303,898.28 and 199,646.40

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Solution

The fourth proportional to 202,598.85, 303,898.28 and 199,646.40 is: 299,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,598.85 : 303,898.28 = 199,646.40 : x
  2. Step 2: Convert to fraction form
    202,598.85/303,898.28 = 199,646.40/x
  3. Step 3: Cross multiply
    202,598.85x = 303,898.28 × 199,646.40
  4. Step 4: Simplify right side
    202,598.85x = 60,672,196,569.96
  5. Step 5: Solve for x
    x = 60,672,196,569.96/202,598.85
  6. Step 6: Final answer
    x = 299,469.60

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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.