Home / 205,986.50-309,147.36-106,175.24

Finding the Fourth Proportional to 205,986.50, 309,147.36 and 106,175.24

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Solution

The fourth proportional to 205,986.50, 309,147.36 and 106,175.24 is: 159,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,986.50 : 309,147.36 = 106,175.24 : x
  2. Step 2: Convert to fraction form
    205,986.50/309,147.36 = 106,175.24/x
  3. Step 3: Cross multiply
    205,986.50x = 309,147.36 × 106,175.24
  4. Step 4: Simplify right side
    205,986.50x = 32,823,793,597.63
  5. Step 5: Solve for x
    x = 32,823,793,597.63/205,986.50
  6. Step 6: Final answer
    x = 159,349.25

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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.