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Finding the Fourth Proportional to 216,182.25, 298,245.69 and 144,448.65

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Solution

The fourth proportional to 216,182.25, 298,245.69 and 144,448.65 is: 199,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,182.25 : 298,245.69 = 144,448.65 : x
  2. Step 2: Convert to fraction form
    216,182.25/298,245.69 = 144,448.65/x
  3. Step 3: Cross multiply
    216,182.25x = 298,245.69 × 144,448.65
  4. Step 4: Simplify right side
    216,182.25x = 43,081,187,288.82
  5. Step 5: Solve for x
    x = 43,081,187,288.82/216,182.25
  6. Step 6: Final answer
    x = 199,281.80

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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.