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Finding the Fourth Proportional to 133,365.69, 184,224.38 and 106,698.87

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Solution

The fourth proportional to 133,365.69, 184,224.38 and 106,698.87 is: 147,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,365.69 : 184,224.38 = 106,698.87 : x
  2. Step 2: Convert to fraction form
    133,365.69/184,224.38 = 106,698.87/x
  3. Step 3: Cross multiply
    133,365.69x = 184,224.38 × 106,698.87
  4. Step 4: Simplify right side
    133,365.69x = 19,656,532,638.96
  5. Step 5: Solve for x
    x = 19,656,532,638.96/133,365.69
  6. Step 6: Final answer
    x = 147,388.23

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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.