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Finding the Fourth Proportional to 202,228.60, 303,197.10 and 113,509.30

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Solution

The fourth proportional to 202,228.60, 303,197.10 and 113,509.30 is: 170,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,228.60 : 303,197.10 = 113,509.30 : x
  2. Step 2: Convert to fraction form
    202,228.60/303,197.10 = 113,509.30/x
  3. Step 3: Cross multiply
    202,228.60x = 303,197.10 × 113,509.30
  4. Step 4: Simplify right side
    202,228.60x = 34,415,690,583.03
  5. Step 5: Solve for x
    x = 34,415,690,583.03/202,228.60
  6. Step 6: Final answer
    x = 170,182.11

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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.