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Finding the Fourth Proportional to 199,633.60, 275,458.08 and 119,065.60

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Solution

The fourth proportional to 199,633.60, 275,458.08 and 119,065.60 is: 164,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.60 : 275,458.08 = 119,065.60 : x
  2. Step 2: Convert to fraction form
    199,633.60/275,458.08 = 119,065.60/x
  3. Step 3: Cross multiply
    199,633.60x = 275,458.08 × 119,065.60
  4. Step 4: Simplify right side
    199,633.60x = 32,797,581,570.05
  5. Step 5: Solve for x
    x = 32,797,581,570.05/199,633.60
  6. Step 6: Final answer
    x = 164,288.89

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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.