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Finding the Fourth Proportional to 216,230, 298,361.80 and 120,721.36

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Solution

The fourth proportional to 216,230, 298,361.80 and 120,721.36 is: 166,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,230 : 298,361.80 = 120,721.36 : x
  2. Step 2: Convert to fraction form
    216,230/298,361.80 = 120,721.36/x
  3. Step 3: Cross multiply
    216,230x = 298,361.80 × 120,721.36
  4. Step 4: Simplify right side
    216,230x = 36,018,642,268.05
  5. Step 5: Solve for x
    x = 36,018,642,268.05/216,230
  6. Step 6: Final answer
    x = 166,575.60

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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.