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Finding the Fourth Proportional to 241,473.58, 362,128.34 and 83,665.19

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Solution

The fourth proportional to 241,473.58, 362,128.34 and 83,665.19 is: 125,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,473.58 : 362,128.34 = 83,665.19 : x
  2. Step 2: Convert to fraction form
    241,473.58/362,128.34 = 83,665.19/x
  3. Step 3: Cross multiply
    241,473.58x = 362,128.34 × 83,665.19
  4. Step 4: Simplify right side
    241,473.58x = 30,297,537,484.97
  5. Step 5: Solve for x
    x = 30,297,537,484.97/241,473.58
  6. Step 6: Final answer
    x = 125,469.37

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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.