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Finding the Fourth Proportional to 216,477.33, 298,742.09 and 120,990.21

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Solution

The fourth proportional to 216,477.33, 298,742.09 and 120,990.21 is: 166,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,477.33 : 298,742.09 = 120,990.21 : x
  2. Step 2: Convert to fraction form
    216,477.33/298,742.09 = 120,990.21/x
  3. Step 3: Cross multiply
    216,477.33x = 298,742.09 × 120,990.21
  4. Step 4: Simplify right side
    216,477.33x = 36,144,868,204.94
  5. Step 5: Solve for x
    x = 36,144,868,204.94/216,477.33
  6. Step 6: Final answer
    x = 166,968.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.