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Finding the Fourth Proportional to 213,357.09, 294,421.91 and 117,845.31

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Solution

The fourth proportional to 213,357.09, 294,421.91 and 117,845.31 is: 162,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,357.09 : 294,421.91 = 117,845.31 : x
  2. Step 2: Convert to fraction form
    213,357.09/294,421.91 = 117,845.31/x
  3. Step 3: Cross multiply
    213,357.09x = 294,421.91 × 117,845.31
  4. Step 4: Simplify right side
    213,357.09x = 34,696,240,665.52
  5. Step 5: Solve for x
    x = 34,696,240,665.52/213,357.09
  6. Step 6: Final answer
    x = 162,620.52

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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.