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Finding the Fourth Proportional to 216,296.30, 298,459.40 and 120,790.82

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Solution

The fourth proportional to 216,296.30, 298,459.40 and 120,790.82 is: 166,674.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,296.30 : 298,459.40 = 120,790.82 : x
  2. Step 2: Convert to fraction form
    216,296.30/298,459.40 = 120,790.82/x
  3. Step 3: Cross multiply
    216,296.30x = 298,459.40 × 120,790.82
  4. Step 4: Simplify right side
    216,296.30x = 36,051,155,662.71
  5. Step 5: Solve for x
    x = 36,051,155,662.71/216,296.30
  6. Step 6: Final answer
    x = 166,674.86

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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.