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Finding the Fourth Proportional to 111,724.64, 154,181.04 and 61,424

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Solution

The fourth proportional to 111,724.64, 154,181.04 and 61,424 is: 84,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,724.64 : 154,181.04 = 61,424 : x
  2. Step 2: Convert to fraction form
    111,724.64/154,181.04 = 61,424/x
  3. Step 3: Cross multiply
    111,724.64x = 154,181.04 × 61,424
  4. Step 4: Simplify right side
    111,724.64x = 9,470,416,200.96
  5. Step 5: Solve for x
    x = 9,470,416,200.96/111,724.64
  6. Step 6: Final answer
    x = 84,765.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.