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Finding the Fourth Proportional to 202,201.86, 303,056.82 and 143,054.58

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Solution

The fourth proportional to 202,201.86, 303,056.82 and 143,054.58 is: 214,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,201.86 : 303,056.82 = 143,054.58 : x
  2. Step 2: Convert to fraction form
    202,201.86/303,056.82 = 143,054.58/x
  3. Step 3: Cross multiply
    202,201.86x = 303,056.82 × 143,054.58
  4. Step 4: Simplify right side
    202,201.86x = 43,353,666,101.24
  5. Step 5: Solve for x
    x = 43,353,666,101.24/202,201.86
  6. Step 6: Final answer
    x = 214,407.85

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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.