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Finding the Fourth Proportional to 202,767.60, 303,902.28 and 113,834.64

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Solution

The fourth proportional to 202,767.60, 303,902.28 and 113,834.64 is: 170,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,767.60 : 303,902.28 = 113,834.64 : x
  2. Step 2: Convert to fraction form
    202,767.60/303,902.28 = 113,834.64/x
  3. Step 3: Cross multiply
    202,767.60x = 303,902.28 × 113,834.64
  4. Step 4: Simplify right side
    202,767.60x = 34,594,606,638.98
  5. Step 5: Solve for x
    x = 34,594,606,638.98/202,767.60
  6. Step 6: Final answer
    x = 170,612.10

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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.