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Finding the Fourth Proportional to 227,849.64, 341,477.19 and 164,881.86

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Solution

The fourth proportional to 227,849.64, 341,477.19 and 164,881.86 is: 247,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,849.64 : 341,477.19 = 164,881.86 : x
  2. Step 2: Convert to fraction form
    227,849.64/341,477.19 = 164,881.86/x
  3. Step 3: Cross multiply
    227,849.64x = 341,477.19 × 164,881.86
  4. Step 4: Simplify right side
    227,849.64x = 56,303,394,234.77
  5. Step 5: Solve for x
    x = 56,303,394,234.77/227,849.64
  6. Step 6: Final answer
    x = 247,107.67

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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.