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Finding the Fourth Proportional to 123,298.56, 184,936.32 and 53,164.80

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Solution

The fourth proportional to 123,298.56, 184,936.32 and 53,164.80 is: 79,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,298.56 : 184,936.32 = 53,164.80 : x
  2. Step 2: Convert to fraction form
    123,298.56/184,936.32 = 53,164.80/x
  3. Step 3: Cross multiply
    123,298.56x = 184,936.32 × 53,164.80
  4. Step 4: Simplify right side
    123,298.56x = 9,832,102,465.54
  5. Step 5: Solve for x
    x = 9,832,102,465.54/123,298.56
  6. Step 6: Final answer
    x = 79,742.23

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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.