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Finding the Fourth Proportional to 216,049.53, 298,148.38 and 119,253.42

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Solution

The fourth proportional to 216,049.53, 298,148.38 and 119,253.42 is: 164,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,049.53 : 298,148.38 = 119,253.42 : x
  2. Step 2: Convert to fraction form
    216,049.53/298,148.38 = 119,253.42/x
  3. Step 3: Cross multiply
    216,049.53x = 298,148.38 × 119,253.42
  4. Step 4: Simplify right side
    216,049.53x = 35,555,213,982.46
  5. Step 5: Solve for x
    x = 35,555,213,982.46/216,049.53
  6. Step 6: Final answer
    x = 164,569.74

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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.