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Finding the Fourth Proportional to 241,262.38, 361,918.41 and 83,490.58

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Solution

The fourth proportional to 241,262.38, 361,918.41 and 83,490.58 is: 125,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,262.38 : 361,918.41 = 83,490.58 : x
  2. Step 2: Convert to fraction form
    241,262.38/361,918.41 = 83,490.58/x
  3. Step 3: Cross multiply
    241,262.38x = 361,918.41 × 83,490.58
  4. Step 4: Simplify right side
    241,262.38x = 30,216,777,963.58
  5. Step 5: Solve for x
    x = 30,216,777,963.58/241,262.38
  6. Step 6: Final answer
    x = 125,244.47

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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.