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Finding the Fourth Proportional to 189,399.70, 284,427.60 and 100,826.20

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Solution

The fourth proportional to 189,399.70, 284,427.60 and 100,826.20 is: 151,413.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,399.70 : 284,427.60 = 100,826.20 : x
  2. Step 2: Convert to fraction form
    189,399.70/284,427.60 = 100,826.20/x
  3. Step 3: Cross multiply
    189,399.70x = 284,427.60 × 100,826.20
  4. Step 4: Simplify right side
    189,399.70x = 28,677,754,083.12
  5. Step 5: Solve for x
    x = 28,677,754,083.12/189,399.70
  6. Step 6: Final answer
    x = 151,413.94

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1.5x scale

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.