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Finding the Fourth Proportional to 120,783.25, 166,696.26 and 73,036.94

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Solution

The fourth proportional to 120,783.25, 166,696.26 and 73,036.94 is: 100,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783.25 : 166,696.26 = 73,036.94 : x
  2. Step 2: Convert to fraction form
    120,783.25/166,696.26 = 73,036.94/x
  3. Step 3: Cross multiply
    120,783.25x = 166,696.26 × 73,036.94
  4. Step 4: Simplify right side
    120,783.25x = 12,174,984,739.84
  5. Step 5: Solve for x
    x = 12,174,984,739.84/120,783.25
  6. Step 6: Final answer
    x = 100,800.27

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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.