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Finding the Fourth Proportional to 145,832.64, 218,844 and 110,218.56

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Solution

The fourth proportional to 145,832.64, 218,844 and 110,218.56 is: 165,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,832.64 : 218,844 = 110,218.56 : x
  2. Step 2: Convert to fraction form
    145,832.64/218,844 = 110,218.56/x
  3. Step 3: Cross multiply
    145,832.64x = 218,844 × 110,218.56
  4. Step 4: Simplify right side
    145,832.64x = 24,120,670,544.64
  5. Step 5: Solve for x
    x = 24,120,670,544.64/145,832.64
  6. Step 6: Final answer
    x = 165,399.67

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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.