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Finding the Fourth Proportional to 197,833.32, 273,010.32 and 107,189.28

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Solution

The fourth proportional to 197,833.32, 273,010.32 and 107,189.28 is: 147,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,833.32 : 273,010.32 = 107,189.28 : x
  2. Step 2: Convert to fraction form
    197,833.32/273,010.32 = 107,189.28/x
  3. Step 3: Cross multiply
    197,833.32x = 273,010.32 × 107,189.28
  4. Step 4: Simplify right side
    197,833.32x = 29,263,779,633.37
  5. Step 5: Solve for x
    x = 29,263,779,633.37/197,833.32
  6. Step 6: Final answer
    x = 147,921.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.