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Finding the Fourth Proportional to 216,051.31, 298,150.83 and 119,255.19

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Solution

The fourth proportional to 216,051.31, 298,150.83 and 119,255.19 is: 164,572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,051.31 : 298,150.83 = 119,255.19 : x
  2. Step 2: Convert to fraction form
    216,051.31/298,150.83 = 119,255.19/x
  3. Step 3: Cross multiply
    216,051.31x = 298,150.83 × 119,255.19
  4. Step 4: Simplify right side
    216,051.31x = 35,556,033,284.03
  5. Step 5: Solve for x
    x = 35,556,033,284.03/216,051.31
  6. Step 6: Final answer
    x = 164,572.18

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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.