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Finding the Fourth Proportional to 223,794.80, 308,842.44 and 121,825.76

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Solution

The fourth proportional to 223,794.80, 308,842.44 and 121,825.76 is: 168,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,794.80 : 308,842.44 = 121,825.76 : x
  2. Step 2: Convert to fraction form
    223,794.80/308,842.44 = 121,825.76/x
  3. Step 3: Cross multiply
    223,794.80x = 308,842.44 × 121,825.76
  4. Step 4: Simplify right side
    223,794.80x = 37,624,964,973.25
  5. Step 5: Solve for x
    x = 37,624,964,973.25/223,794.80
  6. Step 6: Final answer
    x = 168,122.61

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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.