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Finding the Fourth Proportional to 258,429.37, 386,814.67 and 138,185.99

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Solution

The fourth proportional to 258,429.37, 386,814.67 and 138,185.99 is: 206,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,429.37 : 386,814.67 = 138,185.99 : x
  2. Step 2: Convert to fraction form
    258,429.37/386,814.67 = 138,185.99/x
  3. Step 3: Cross multiply
    258,429.37x = 386,814.67 × 138,185.99
  4. Step 4: Simplify right side
    258,429.37x = 53,452,368,120.47
  5. Step 5: Solve for x
    x = 53,452,368,120.47/258,429.37
  6. Step 6: Final answer
    x = 206,835.50

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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.