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Finding the Fourth Proportional to 189,853.02, 285,222.42 and 111,022.74

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Solution

The fourth proportional to 189,853.02, 285,222.42 and 111,022.74 is: 166,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,853.02 : 285,222.42 = 111,022.74 : x
  2. Step 2: Convert to fraction form
    189,853.02/285,222.42 = 111,022.74/x
  3. Step 3: Cross multiply
    189,853.02x = 285,222.42 × 111,022.74
  4. Step 4: Simplify right side
    189,853.02x = 31,666,174,577.83
  5. Step 5: Solve for x
    x = 31,666,174,577.83/189,853.02
  6. Step 6: Final answer
    x = 166,793.10

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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.