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Finding the Fourth Proportional to 189,224.03, 283,836.02 and 89,394.32

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Solution

The fourth proportional to 189,224.03, 283,836.02 and 89,394.32 is: 134,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,224.03 : 283,836.02 = 89,394.32 : x
  2. Step 2: Convert to fraction form
    189,224.03/283,836.02 = 89,394.32/x
  3. Step 3: Cross multiply
    189,224.03x = 283,836.02 × 89,394.32
  4. Step 4: Simplify right side
    189,224.03x = 25,373,326,133.25
  5. Step 5: Solve for x
    x = 25,373,326,133.25/189,224.03
  6. Step 6: Final answer
    x = 134,091.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.