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Finding the Fourth Proportional to 184,994, 255,293.57 and 100,112.89

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Solution

The fourth proportional to 184,994, 255,293.57 and 100,112.89 is: 138,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,994 : 255,293.57 = 100,112.89 : x
  2. Step 2: Convert to fraction form
    184,994/255,293.57 = 100,112.89/x
  3. Step 3: Cross multiply
    184,994x = 255,293.57 × 100,112.89
  4. Step 4: Simplify right side
    184,994x = 25,558,175,314.09
  5. Step 5: Solve for x
    x = 25,558,175,314.09/184,994
  6. Step 6: Final answer
    x = 138,156.78

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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.