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Finding the Fourth Proportional to 202,494.40, 303,741.60 and 155,255.20

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Solution

The fourth proportional to 202,494.40, 303,741.60 and 155,255.20 is: 232,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,494.40 : 303,741.60 = 155,255.20 : x
  2. Step 2: Convert to fraction form
    202,494.40/303,741.60 = 155,255.20/x
  3. Step 3: Cross multiply
    202,494.40x = 303,741.60 × 155,255.20
  4. Step 4: Simplify right side
    202,494.40x = 47,157,462,856.32
  5. Step 5: Solve for x
    x = 47,157,462,856.32/202,494.40
  6. Step 6: Final answer
    x = 232,882.80

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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.