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Finding the Fourth Proportional to 231,199.54, 346,797.69 and 118,911.07

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Solution

The fourth proportional to 231,199.54, 346,797.69 and 118,911.07 is: 178,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,199.54 : 346,797.69 = 118,911.07 : x
  2. Step 2: Convert to fraction form
    231,199.54/346,797.69 = 118,911.07/x
  3. Step 3: Cross multiply
    231,199.54x = 346,797.69 × 118,911.07
  4. Step 4: Simplify right side
    231,199.54x = 41,238,084,391.43
  5. Step 5: Solve for x
    x = 41,238,084,391.43/231,199.54
  6. Step 6: Final answer
    x = 178,365.77

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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.