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Finding the Fourth Proportional to 307,706.50, 461,765.93 and 108,027.48

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Solution

The fourth proportional to 307,706.50, 461,765.93 and 108,027.48 is: 162,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,706.50 : 461,765.93 = 108,027.48 : x
  2. Step 2: Convert to fraction form
    307,706.50/461,765.93 = 108,027.48/x
  3. Step 3: Cross multiply
    307,706.50x = 461,765.93 × 108,027.48
  4. Step 4: Simplify right side
    307,706.50x = 49,883,409,767.76
  5. Step 5: Solve for x
    x = 49,883,409,767.76/307,706.50
  6. Step 6: Final answer
    x = 162,113.60

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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.