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Finding the Fourth Proportional to 201,294.40, 301,942.32 and 61,054.24

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Solution

The fourth proportional to 201,294.40, 301,942.32 and 61,054.24 is: 91,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,294.40 : 301,942.32 = 61,054.24 : x
  2. Step 2: Convert to fraction form
    201,294.40/301,942.32 = 61,054.24/x
  3. Step 3: Cross multiply
    201,294.40x = 301,942.32 × 61,054.24
  4. Step 4: Simplify right side
    201,294.40x = 18,434,858,871.44
  5. Step 5: Solve for x
    x = 18,434,858,871.44/201,294.40
  6. Step 6: Final answer
    x = 91,581.58

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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.