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Finding the Fourth Proportional to 216,452.18, 298,717.95 and 120,959.42

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Solution

The fourth proportional to 216,452.18, 298,717.95 and 120,959.42 is: 166,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,452.18 : 298,717.95 = 120,959.42 : x
  2. Step 2: Convert to fraction form
    216,452.18/298,717.95 = 120,959.42/x
  3. Step 3: Cross multiply
    216,452.18x = 298,717.95 × 120,959.42
  4. Step 4: Simplify right side
    216,452.18x = 36,132,749,975.59
  5. Step 5: Solve for x
    x = 36,132,749,975.59/216,452.18
  6. Step 6: Final answer
    x = 166,931.79

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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.