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Finding the Fourth Proportional to 258,431.37, 386,817.66 and 138,188.00

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Solution

The fourth proportional to 258,431.37, 386,817.66 and 138,188.00 is: 206,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,431.37 : 386,817.66 = 138,188.00 : x
  2. Step 2: Convert to fraction form
    258,431.37/386,817.66 = 138,188.00/x
  3. Step 3: Cross multiply
    258,431.37x = 386,817.66 × 138,188.00
  4. Step 4: Simplify right side
    258,431.37x = 53,453,556,865.99
  5. Step 5: Solve for x
    x = 53,453,556,865.99/258,431.37
  6. Step 6: Final answer
    x = 206,838.50

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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.