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Finding the Fourth Proportional to 184,714.14, 254,905.13 and 99,831

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Solution

The fourth proportional to 184,714.14, 254,905.13 and 99,831 is: 137,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,714.14 : 254,905.13 = 99,831 : x
  2. Step 2: Convert to fraction form
    184,714.14/254,905.13 = 99,831/x
  3. Step 3: Cross multiply
    184,714.14x = 254,905.13 × 99,831
  4. Step 4: Simplify right side
    184,714.14x = 25,447,433,533.88
  5. Step 5: Solve for x
    x = 25,447,433,533.88/184,714.14
  6. Step 6: Final answer
    x = 137,766.57

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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.