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Finding the Fourth Proportional to 154,492.70, 231,523.05 and 122,956.70

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Solution

The fourth proportional to 154,492.70, 231,523.05 and 122,956.70 is: 184,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,492.70 : 231,523.05 = 122,956.70 : x
  2. Step 2: Convert to fraction form
    154,492.70/231,523.05 = 122,956.70/x
  3. Step 3: Cross multiply
    154,492.70x = 231,523.05 × 122,956.70
  4. Step 4: Simplify right side
    154,492.70x = 28,467,310,201.94
  5. Step 5: Solve for x
    x = 28,467,310,201.94/154,492.70
  6. Step 6: Final answer
    x = 184,263.14

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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.