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Finding the Fourth Proportional to 307,733.30, 461,801.78 and 108,048.54

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Solution

The fourth proportional to 307,733.30, 461,801.78 and 108,048.54 is: 162,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,733.30 : 461,801.78 = 108,048.54 : x
  2. Step 2: Convert to fraction form
    307,733.30/461,801.78 = 108,048.54/x
  3. Step 3: Cross multiply
    307,733.30x = 461,801.78 × 108,048.54
  4. Step 4: Simplify right side
    307,733.30x = 49,897,008,098.40
  5. Step 5: Solve for x
    x = 49,897,008,098.40/307,733.30
  6. Step 6: Final answer
    x = 162,143.67

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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.