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Finding the Fourth Proportional to 241,712.69, 361,978.52 and 208,645.25

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Solution

The fourth proportional to 241,712.69, 361,978.52 and 208,645.25 is: 312,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,712.69 : 361,978.52 = 208,645.25 : x
  2. Step 2: Convert to fraction form
    241,712.69/361,978.52 = 208,645.25/x
  3. Step 3: Cross multiply
    241,712.69x = 361,978.52 × 208,645.25
  4. Step 4: Simplify right side
    241,712.69x = 75,525,095,946.91
  5. Step 5: Solve for x
    x = 75,525,095,946.91/241,712.69
  6. Step 6: Final answer
    x = 312,458.14

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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.