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Finding the Fourth Proportional to 241,349.22, 362,028.42 and 83,582.82

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Solution

The fourth proportional to 241,349.22, 362,028.42 and 83,582.82 is: 125,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,349.22 : 362,028.42 = 83,582.82 : x
  2. Step 2: Convert to fraction form
    241,349.22/362,028.42 = 83,582.82/x
  3. Step 3: Cross multiply
    241,349.22x = 362,028.42 × 83,582.82
  4. Step 4: Simplify right side
    241,349.22x = 30,259,356,263.74
  5. Step 5: Solve for x
    x = 30,259,356,263.74/241,349.22
  6. Step 6: Final answer
    x = 125,375.82

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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.