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Finding the Fourth Proportional to 184,784.96, 255,003.16 and 99,902

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Solution

The fourth proportional to 184,784.96, 255,003.16 and 99,902 is: 137,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,784.96 : 255,003.16 = 99,902 : x
  2. Step 2: Convert to fraction form
    184,784.96/255,003.16 = 99,902/x
  3. Step 3: Cross multiply
    184,784.96x = 255,003.16 × 99,902
  4. Step 4: Simplify right side
    184,784.96x = 25,475,325,690.32
  5. Step 5: Solve for x
    x = 25,475,325,690.32/184,784.96
  6. Step 6: Final answer
    x = 137,864.71

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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.