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Finding the Fourth Proportional to 149,293.13, 206,024.51 and 82,225.13

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Solution

The fourth proportional to 149,293.13, 206,024.51 and 82,225.13 is: 113,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,293.13 : 206,024.51 = 82,225.13 : x
  2. Step 2: Convert to fraction form
    149,293.13/206,024.51 = 82,225.13/x
  3. Step 3: Cross multiply
    149,293.13x = 206,024.51 × 82,225.13
  4. Step 4: Simplify right side
    149,293.13x = 16,940,391,293.38
  5. Step 5: Solve for x
    x = 16,940,391,293.38/149,293.13
  6. Step 6: Final answer
    x = 113,470.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.