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Finding the Fourth Proportional to 201,974.58, 278,740.96 and 111,346.64

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Solution

The fourth proportional to 201,974.58, 278,740.96 and 111,346.64 is: 153,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974.58 : 278,740.96 = 111,346.64 : x
  2. Step 2: Convert to fraction form
    201,974.58/278,740.96 = 111,346.64/x
  3. Step 3: Cross multiply
    201,974.58x = 278,740.96 × 111,346.64
  4. Step 4: Simplify right side
    201,974.58x = 31,036,869,326.37
  5. Step 5: Solve for x
    x = 31,036,869,326.37/201,974.58
  6. Step 6: Final answer
    x = 153,667.21

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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.