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Finding the Fourth Proportional to 241,473.64, 362,128.44 and 83,665.26

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Solution

The fourth proportional to 241,473.64, 362,128.44 and 83,665.26 is: 125,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,473.64 : 362,128.44 = 83,665.26 : x
  2. Step 2: Convert to fraction form
    241,473.64/362,128.44 = 83,665.26/x
  3. Step 3: Cross multiply
    241,473.64x = 362,128.44 × 83,665.26
  4. Step 4: Simplify right side
    241,473.64x = 30,297,570,085.99
  5. Step 5: Solve for x
    x = 30,297,570,085.99/241,473.64
  6. Step 6: Final answer
    x = 125,469.47

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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.