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Finding the Fourth Proportional to 272,852.38, 409,200.81 and 106,601.50

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Solution

The fourth proportional to 272,852.38, 409,200.81 and 106,601.50 is: 159,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,852.38 : 409,200.81 = 106,601.50 : x
  2. Step 2: Convert to fraction form
    272,852.38/409,200.81 = 106,601.50/x
  3. Step 3: Cross multiply
    272,852.38x = 409,200.81 × 106,601.50
  4. Step 4: Simplify right side
    272,852.38x = 43,621,420,147.22
  5. Step 5: Solve for x
    x = 43,621,420,147.22/272,852.38
  6. Step 6: Final answer
    x = 159,871.87

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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.