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Finding the Fourth Proportional to 184,765.16, 254,975.82 and 99,882.38

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Solution

The fourth proportional to 184,765.16, 254,975.82 and 99,882.38 is: 137,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,765.16 : 254,975.82 = 99,882.38 : x
  2. Step 2: Convert to fraction form
    184,765.16/254,975.82 = 99,882.38/x
  3. Step 3: Cross multiply
    184,765.16x = 254,975.82 × 99,882.38
  4. Step 4: Simplify right side
    184,765.16x = 25,467,591,744.05
  5. Step 5: Solve for x
    x = 25,467,591,744.05/184,765.16
  6. Step 6: Final answer
    x = 137,837.63

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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.