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Finding the Fourth Proportional to 202,152.30, 303,119.10 and 83,835.60

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Solution

The fourth proportional to 202,152.30, 303,119.10 and 83,835.60 is: 125,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152.30 : 303,119.10 = 83,835.60 : x
  2. Step 2: Convert to fraction form
    202,152.30/303,119.10 = 83,835.60/x
  3. Step 3: Cross multiply
    202,152.30x = 303,119.10 × 83,835.60
  4. Step 4: Simplify right side
    202,152.30x = 25,412,171,619.96
  5. Step 5: Solve for x
    x = 25,412,171,619.96/202,152.30
  6. Step 6: Final answer
    x = 125,708.05

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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.