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Finding the Fourth Proportional to 201,412.56, 301,986.36 and 112,675.44

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Solution

The fourth proportional to 201,412.56, 301,986.36 and 112,675.44 is: 168,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,412.56 : 301,986.36 = 112,675.44 : x
  2. Step 2: Convert to fraction form
    201,412.56/301,986.36 = 112,675.44/x
  3. Step 3: Cross multiply
    201,412.56x = 301,986.36 × 112,675.44
  4. Step 4: Simplify right side
    201,412.56x = 34,026,445,987.00
  5. Step 5: Solve for x
    x = 34,026,445,987.00/201,412.56
  6. Step 6: Final answer
    x = 168,939.05

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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.