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Finding the Fourth Proportional to 241,390.26, 333,228.24 and 165,033

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Solution

The fourth proportional to 241,390.26, 333,228.24 and 165,033 is: 227,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,390.26 : 333,228.24 = 165,033 : x
  2. Step 2: Convert to fraction form
    241,390.26/333,228.24 = 165,033/x
  3. Step 3: Cross multiply
    241,390.26x = 333,228.24 × 165,033
  4. Step 4: Simplify right side
    241,390.26x = 54,993,656,131.92
  5. Step 5: Solve for x
    x = 54,993,656,131.92/241,390.26
  6. Step 6: Final answer
    x = 227,820.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.