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Finding the Fourth Proportional to 202,849.96, 304,197.66 and 81,233.32

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Solution

The fourth proportional to 202,849.96, 304,197.66 and 81,233.32 is: 121,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,849.96 : 304,197.66 = 81,233.32 : x
  2. Step 2: Convert to fraction form
    202,849.96/304,197.66 = 81,233.32/x
  3. Step 3: Cross multiply
    202,849.96x = 304,197.66 × 81,233.32
  4. Step 4: Simplify right side
    202,849.96x = 24,710,985,858.03
  5. Step 5: Solve for x
    x = 24,710,985,858.03/202,849.96
  6. Step 6: Final answer
    x = 121,819.03

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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.