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Finding the Fourth Proportional to 184,774.96, 254,989.38 and 99,892

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Solution

The fourth proportional to 184,774.96, 254,989.38 and 99,892 is: 137,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,774.96 : 254,989.38 = 99,892 : x
  2. Step 2: Convert to fraction form
    184,774.96/254,989.38 = 99,892/x
  3. Step 3: Cross multiply
    184,774.96x = 254,989.38 × 99,892
  4. Step 4: Simplify right side
    184,774.96x = 25,471,399,146.96
  5. Step 5: Solve for x
    x = 25,471,399,146.96/184,774.96
  6. Step 6: Final answer
    x = 137,850.92

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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.