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Finding the Fourth Proportional to 258,955.26, 388,360.53 and 164,044.32

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Solution

The fourth proportional to 258,955.26, 388,360.53 and 164,044.32 is: 246,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,955.26 : 388,360.53 = 164,044.32 : x
  2. Step 2: Convert to fraction form
    258,955.26/388,360.53 = 164,044.32/x
  3. Step 3: Cross multiply
    258,955.26x = 388,360.53 × 164,044.32
  4. Step 4: Simplify right side
    258,955.26x = 63,708,339,058.69
  5. Step 5: Solve for x
    x = 63,708,339,058.69/258,955.26
  6. Step 6: Final answer
    x = 246,020.64

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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.