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Finding the Fourth Proportional to 189,045.50, 283,611.98 and 110,226.02

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Solution

The fourth proportional to 189,045.50, 283,611.98 and 110,226.02 is: 165,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,045.50 : 283,611.98 = 110,226.02 : x
  2. Step 2: Convert to fraction form
    189,045.50/283,611.98 = 110,226.02/x
  3. Step 3: Cross multiply
    189,045.50x = 283,611.98 × 110,226.02
  4. Step 4: Simplify right side
    189,045.50x = 31,261,418,637.22
  5. Step 5: Solve for x
    x = 31,261,418,637.22/189,045.50
  6. Step 6: Final answer
    x = 165,364.53

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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.