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Finding the Fourth Proportional to 189,846.80, 284,813.40 and 110,920.40

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Solution

The fourth proportional to 189,846.80, 284,813.40 and 110,920.40 is: 166,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,846.80 : 284,813.40 = 110,920.40 : x
  2. Step 2: Convert to fraction form
    189,846.80/284,813.40 = 110,920.40/x
  3. Step 3: Cross multiply
    189,846.80x = 284,813.40 × 110,920.40
  4. Step 4: Simplify right side
    189,846.80x = 31,591,616,253.36
  5. Step 5: Solve for x
    x = 31,591,616,253.36/189,846.80
  6. Step 6: Final answer
    x = 166,405.84

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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.