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Finding the Fourth Proportional to 241,525.80, 362,287.62 and 205,653.06

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Solution

The fourth proportional to 241,525.80, 362,287.62 and 205,653.06 is: 308,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,525.80 : 362,287.62 = 205,653.06 : x
  2. Step 2: Convert to fraction form
    241,525.80/362,287.62 = 205,653.06/x
  3. Step 3: Cross multiply
    241,525.80x = 362,287.62 × 205,653.06
  4. Step 4: Simplify right side
    241,525.80x = 74,505,557,653.12
  5. Step 5: Solve for x
    x = 74,505,557,653.12/241,525.80
  6. Step 6: Final answer
    x = 308,478.67

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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.