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Finding the Fourth Proportional to 109,997.42, 164,969.69 and 50,776.20

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Solution

The fourth proportional to 109,997.42, 164,969.69 and 50,776.20 is: 76,152.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,997.42 : 164,969.69 = 50,776.20 : x
  2. Step 2: Convert to fraction form
    109,997.42/164,969.69 = 50,776.20/x
  3. Step 3: Cross multiply
    109,997.42x = 164,969.69 × 50,776.20
  4. Step 4: Simplify right side
    109,997.42x = 8,376,533,719.50
  5. Step 5: Solve for x
    x = 8,376,533,719.50/109,997.42
  6. Step 6: Final answer
    x = 76,152.10

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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.