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Finding the Fourth Proportional to 216,024.48, 298,084.14 and 120,512.70

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Solution

The fourth proportional to 216,024.48, 298,084.14 and 120,512.70 is: 166,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,024.48 : 298,084.14 = 120,512.70 : x
  2. Step 2: Convert to fraction form
    216,024.48/298,084.14 = 120,512.70/x
  3. Step 3: Cross multiply
    216,024.48x = 298,084.14 × 120,512.70
  4. Step 4: Simplify right side
    216,024.48x = 35,922,924,538.58
  5. Step 5: Solve for x
    x = 35,922,924,538.58/216,024.48
  6. Step 6: Final answer
    x = 166,290.99

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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.