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Finding the Fourth Proportional to 202,180.70, 303,599.10 and 113,607.20

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Solution

The fourth proportional to 202,180.70, 303,599.10 and 113,607.20 is: 170,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,180.70 : 303,599.10 = 113,607.20 : x
  2. Step 2: Convert to fraction form
    202,180.70/303,599.10 = 113,607.20/x
  3. Step 3: Cross multiply
    202,180.70x = 303,599.10 × 113,607.20
  4. Step 4: Simplify right side
    202,180.70x = 34,491,043,673.52
  5. Step 5: Solve for x
    x = 34,491,043,673.52/202,180.70
  6. Step 6: Final answer
    x = 170,595.13

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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.