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Finding the Fourth Proportional to 202,452.60, 303,533.10 and 113,733.30

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Solution

The fourth proportional to 202,452.60, 303,533.10 and 113,733.30 is: 170,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,452.60 : 303,533.10 = 113,733.30 : x
  2. Step 2: Convert to fraction form
    202,452.60/303,533.10 = 113,733.30/x
  3. Step 3: Cross multiply
    202,452.60x = 303,533.10 × 113,733.30
  4. Step 4: Simplify right side
    202,452.60x = 34,521,821,122.23
  5. Step 5: Solve for x
    x = 34,521,821,122.23/202,452.60
  6. Step 6: Final answer
    x = 170,518.04

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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.