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Finding the Fourth Proportional to 202,024.90, 303,365.40 and 135,758.80

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Solution

The fourth proportional to 202,024.90, 303,365.40 and 135,758.80 is: 203,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024.90 : 303,365.40 = 135,758.80 : x
  2. Step 2: Convert to fraction form
    202,024.90/303,365.40 = 135,758.80/x
  3. Step 3: Cross multiply
    202,024.90x = 303,365.40 × 135,758.80
  4. Step 4: Simplify right side
    202,024.90x = 41,184,522,665.52
  5. Step 5: Solve for x
    x = 41,184,522,665.52/202,024.90
  6. Step 6: Final answer
    x = 203,858.65

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1.5x scale

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.