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Finding the Fourth Proportional to 216,416.33, 298,653.71 and 120,923

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Solution

The fourth proportional to 216,416.33, 298,653.71 and 120,923 is: 166,873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,416.33 : 298,653.71 = 120,923 : x
  2. Step 2: Convert to fraction form
    216,416.33/298,653.71 = 120,923/x
  3. Step 3: Cross multiply
    216,416.33x = 298,653.71 × 120,923
  4. Step 4: Simplify right side
    216,416.33x = 36,114,102,574.33
  5. Step 5: Solve for x
    x = 36,114,102,574.33/216,416.33
  6. Step 6: Final answer
    x = 166,873.28

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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.