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Finding the Fourth Proportional to 189,032.56, 283,548.72 and 177,485.20

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Solution

The fourth proportional to 189,032.56, 283,548.72 and 177,485.20 is: 266,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,032.56 : 283,548.72 = 177,485.20 : x
  2. Step 2: Convert to fraction form
    189,032.56/283,548.72 = 177,485.20/x
  3. Step 3: Cross multiply
    189,032.56x = 283,548.72 × 177,485.20
  4. Step 4: Simplify right side
    189,032.56x = 50,325,701,278.94
  5. Step 5: Solve for x
    x = 50,325,701,278.94/189,032.56
  6. Step 6: Final answer
    x = 266,227.69

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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.