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Finding the Fourth Proportional to 164,491.20, 246,736.80 and 111,347.10

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Solution

The fourth proportional to 164,491.20, 246,736.80 and 111,347.10 is: 167,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,491.20 : 246,736.80 = 111,347.10 : x
  2. Step 2: Convert to fraction form
    164,491.20/246,736.80 = 111,347.10/x
  3. Step 3: Cross multiply
    164,491.20x = 246,736.80 × 111,347.10
  4. Step 4: Simplify right side
    164,491.20x = 27,473,427,143.28
  5. Step 5: Solve for x
    x = 27,473,427,143.28/164,491.20
  6. Step 6: Final answer
    x = 167,020.65

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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.