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Finding the Fourth Proportional to 202,142.30, 303,322.80 and 83,825.60

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Solution

The fourth proportional to 202,142.30, 303,322.80 and 83,825.60 is: 125,783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.30 : 303,322.80 = 83,825.60 : x
  2. Step 2: Convert to fraction form
    202,142.30/303,322.80 = 83,825.60/x
  3. Step 3: Cross multiply
    202,142.30x = 303,322.80 × 83,825.60
  4. Step 4: Simplify right side
    202,142.30x = 25,426,215,703.68
  5. Step 5: Solve for x
    x = 25,426,215,703.68/202,142.30
  6. Step 6: Final answer
    x = 125,783.75

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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.