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Finding the Fourth Proportional to 267,885.86, 401,828.77 and 208,765.76

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Solution

The fourth proportional to 267,885.86, 401,828.77 and 208,765.76 is: 313,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,885.86 : 401,828.77 = 208,765.76 : x
  2. Step 2: Convert to fraction form
    267,885.86/401,828.77 = 208,765.76/x
  3. Step 3: Cross multiply
    267,885.86x = 401,828.77 × 208,765.76
  4. Step 4: Simplify right side
    267,885.86x = 83,888,088,558.92
  5. Step 5: Solve for x
    x = 83,888,088,558.92/267,885.86
  6. Step 6: Final answer
    x = 313,148.62

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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.