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Finding the Fourth Proportional to 216,336.57, 298,350.54 and 180,157.80

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Solution

The fourth proportional to 216,336.57, 298,350.54 and 180,157.80 is: 248,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,336.57 : 298,350.54 = 180,157.80 : x
  2. Step 2: Convert to fraction form
    216,336.57/298,350.54 = 180,157.80/x
  3. Step 3: Cross multiply
    216,336.57x = 298,350.54 × 180,157.80
  4. Step 4: Simplify right side
    216,336.57x = 53,750,176,915.21
  5. Step 5: Solve for x
    x = 53,750,176,915.21/216,336.57
  6. Step 6: Final answer
    x = 248,456.27

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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.