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Finding the Fourth Proportional to 216,152.93, 298,278.66 and 120,665.67

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Solution

The fourth proportional to 216,152.93, 298,278.66 and 120,665.67 is: 166,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,152.93 : 298,278.66 = 120,665.67 : x
  2. Step 2: Convert to fraction form
    216,152.93/298,278.66 = 120,665.67/x
  3. Step 3: Cross multiply
    216,152.93x = 298,278.66 × 120,665.67
  4. Step 4: Simplify right side
    216,152.93x = 35,991,994,657.27
  5. Step 5: Solve for x
    x = 35,991,994,657.27/216,152.93
  6. Step 6: Final answer
    x = 166,511.72

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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.