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Finding the Fourth Proportional to 216,120.36, 298,260.90 and 120,645.64

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Solution

The fourth proportional to 216,120.36, 298,260.90 and 120,645.64 is: 166,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,120.36 : 298,260.90 = 120,645.64 : x
  2. Step 2: Convert to fraction form
    216,120.36/298,260.90 = 120,645.64/x
  3. Step 3: Cross multiply
    216,120.36x = 298,260.90 × 120,645.64
  4. Step 4: Simplify right side
    216,120.36x = 35,983,877,167.48
  5. Step 5: Solve for x
    x = 35,983,877,167.48/216,120.36
  6. Step 6: Final answer
    x = 166,499.25

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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.