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Finding the Fourth Proportional to 201,338.86, 302,241.57 and 108,026.86

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Solution

The fourth proportional to 201,338.86, 302,241.57 and 108,026.86 is: 162,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,338.86 : 302,241.57 = 108,026.86 : x
  2. Step 2: Convert to fraction form
    201,338.86/302,241.57 = 108,026.86/x
  3. Step 3: Cross multiply
    201,338.86x = 302,241.57 × 108,026.86
  4. Step 4: Simplify right side
    201,338.86x = 32,650,207,768.57
  5. Step 5: Solve for x
    x = 32,650,207,768.57/201,338.86
  6. Step 6: Final answer
    x = 162,165.45

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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.