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Finding the Fourth Proportional to 213,449.96, 294,564.66 and 117,957.44

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Solution

The fourth proportional to 213,449.96, 294,564.66 and 117,957.44 is: 162,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,449.96 : 294,564.66 = 117,957.44 : x
  2. Step 2: Convert to fraction form
    213,449.96/294,564.66 = 117,957.44/x
  3. Step 3: Cross multiply
    213,449.96x = 294,564.66 × 117,957.44
  4. Step 4: Simplify right side
    213,449.96x = 34,746,093,208.07
  5. Step 5: Solve for x
    x = 34,746,093,208.07/213,449.96
  6. Step 6: Final answer
    x = 162,783.32

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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.