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Finding the Fourth Proportional to 189,993.36, 285,210.90 and 111,164.16

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Solution

The fourth proportional to 189,993.36, 285,210.90 and 111,164.16 is: 166,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,993.36 : 285,210.90 = 111,164.16 : x
  2. Step 2: Convert to fraction form
    189,993.36/285,210.90 = 111,164.16/x
  3. Step 3: Cross multiply
    189,993.36x = 285,210.90 × 111,164.16
  4. Step 4: Simplify right side
    189,993.36x = 31,705,230,121.34
  5. Step 5: Solve for x
    x = 31,705,230,121.34/189,993.36
  6. Step 6: Final answer
    x = 166,875.46

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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.