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Finding the Fourth Proportional to 216,438.74, 298,679.70 and 120,946.22

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Solution

The fourth proportional to 216,438.74, 298,679.70 and 120,946.22 is: 166,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,438.74 : 298,679.70 = 120,946.22 : x
  2. Step 2: Convert to fraction form
    216,438.74/298,679.70 = 120,946.22/x
  3. Step 3: Cross multiply
    216,438.74x = 298,679.70 × 120,946.22
  4. Step 4: Simplify right side
    216,438.74x = 36,124,179,212.34
  5. Step 5: Solve for x
    x = 36,124,179,212.34/216,438.74
  6. Step 6: Final answer
    x = 166,902.56

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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.