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Finding the Fourth Proportional to 221,481.90, 305,538.75 and 144,967.32

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Solution

The fourth proportional to 221,481.90, 305,538.75 and 144,967.32 is: 199,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,481.90 : 305,538.75 = 144,967.32 : x
  2. Step 2: Convert to fraction form
    221,481.90/305,538.75 = 144,967.32/x
  3. Step 3: Cross multiply
    221,481.90x = 305,538.75 × 144,967.32
  4. Step 4: Simplify right side
    221,481.90x = 44,293,133,743.65
  5. Step 5: Solve for x
    x = 44,293,133,743.65/221,481.90
  6. Step 6: Final answer
    x = 199,985.34

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