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Finding the Fourth Proportional to 189,706.08, 284,722.74 and 105,550.32

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Solution

The fourth proportional to 189,706.08, 284,722.74 and 105,550.32 is: 158,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,706.08 : 284,722.74 = 105,550.32 : x
  2. Step 2: Convert to fraction form
    189,706.08/284,722.74 = 105,550.32/x
  3. Step 3: Cross multiply
    189,706.08x = 284,722.74 × 105,550.32
  4. Step 4: Simplify right side
    189,706.08x = 30,052,576,318.28
  5. Step 5: Solve for x
    x = 30,052,576,318.28/189,706.08
  6. Step 6: Final answer
    x = 158,416.52

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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.