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Finding the Fourth Proportional to 202,201.88, 303,056.80 and 143,054.60

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Solution

The fourth proportional to 202,201.88, 303,056.80 and 143,054.60 is: 214,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,201.88 : 303,056.80 = 143,054.60 : x
  2. Step 2: Convert to fraction form
    202,201.88/303,056.80 = 143,054.60/x
  3. Step 3: Cross multiply
    202,201.88x = 303,056.80 × 143,054.60
  4. Step 4: Simplify right side
    202,201.88x = 43,353,669,301.28
  5. Step 5: Solve for x
    x = 43,353,669,301.28/202,201.88
  6. Step 6: Final answer
    x = 214,407.84

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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.