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Finding the Fourth Proportional to 216,188.28, 298,253.94 and 144,454.68

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Solution

The fourth proportional to 216,188.28, 298,253.94 and 144,454.68 is: 199,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,188.28 : 298,253.94 = 144,454.68 : x
  2. Step 2: Convert to fraction form
    216,188.28/298,253.94 = 144,454.68/x
  3. Step 3: Cross multiply
    216,188.28x = 298,253.94 × 144,454.68
  4. Step 4: Simplify right side
    216,188.28x = 43,084,177,461.44
  5. Step 5: Solve for x
    x = 43,084,177,461.44/216,188.28
  6. Step 6: Final answer
    x = 199,290.07

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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.