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Finding the Fourth Proportional to 181,906.32, 273,030.12 and 111,922.32

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Solution

The fourth proportional to 181,906.32, 273,030.12 and 111,922.32 is: 167,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,906.32 : 273,030.12 = 111,922.32 : x
  2. Step 2: Convert to fraction form
    181,906.32/273,030.12 = 111,922.32/x
  3. Step 3: Cross multiply
    181,906.32x = 273,030.12 × 111,922.32
  4. Step 4: Simplify right side
    181,906.32x = 30,558,164,460.28
  5. Step 5: Solve for x
    x = 30,558,164,460.28/181,906.32
  6. Step 6: Final answer
    x = 167,988.47

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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.