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Finding the Fourth Proportional to 201,849.84, 302,593.86 and 83,445.48

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Solution

The fourth proportional to 201,849.84, 302,593.86 and 83,445.48 is: 125,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,849.84 : 302,593.86 = 83,445.48 : x
  2. Step 2: Convert to fraction form
    201,849.84/302,593.86 = 83,445.48/x
  3. Step 3: Cross multiply
    201,849.84x = 302,593.86 × 83,445.48
  4. Step 4: Simplify right side
    201,849.84x = 25,250,089,892.75
  5. Step 5: Solve for x
    x = 25,250,089,892.75/201,849.84
  6. Step 6: Final answer
    x = 125,093.44

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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.