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Finding the Fourth Proportional to 154,098.60, 230,759.10 and 122,994.60

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Solution

The fourth proportional to 154,098.60, 230,759.10 and 122,994.60 is: 184,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,098.60 : 230,759.10 = 122,994.60 : x
  2. Step 2: Convert to fraction form
    154,098.60/230,759.10 = 122,994.60/x
  3. Step 3: Cross multiply
    154,098.60x = 230,759.10 × 122,994.60
  4. Step 4: Simplify right side
    154,098.60x = 28,382,123,200.86
  5. Step 5: Solve for x
    x = 28,382,123,200.86/154,098.60
  6. Step 6: Final answer
    x = 184,181.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.