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Finding the Fourth Proportional to 338,181.48, 507,296.82 and 113,540.01

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Solution

The fourth proportional to 338,181.48, 507,296.82 and 113,540.01 is: 170,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,181.48 : 507,296.82 = 113,540.01 : x
  2. Step 2: Convert to fraction form
    338,181.48/507,296.82 = 113,540.01/x
  3. Step 3: Cross multiply
    338,181.48x = 507,296.82 × 113,540.01
  4. Step 4: Simplify right side
    338,181.48x = 57,598,485,448.07
  5. Step 5: Solve for x
    x = 57,598,485,448.07/338,181.48
  6. Step 6: Final answer
    x = 170,318.27

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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.