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Finding the Fourth Proportional to 154,467, 231,714 and 43,659

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Solution

The fourth proportional to 154,467, 231,714 and 43,659 is: 65,492.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,467 : 231,714 = 43,659 : x
  2. Step 2: Convert to fraction form
    154,467/231,714 = 43,659/x
  3. Step 3: Cross multiply
    154,467x = 231,714 × 43,659
  4. Step 4: Simplify right side
    154,467x = 10,116,401,526
  5. Step 5: Solve for x
    x = 10,116,401,526/154,467
  6. Step 6: Final answer
    x = 65,492.32

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