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Finding the Fourth Proportional to 216,273.71, 298,436.40 and 120,778.36

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Solution

The fourth proportional to 216,273.71, 298,436.40 and 120,778.36 is: 166,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,273.71 : 298,436.40 = 120,778.36 : x
  2. Step 2: Convert to fraction form
    216,273.71/298,436.40 = 120,778.36/x
  3. Step 3: Cross multiply
    216,273.71x = 298,436.40 × 120,778.36
  4. Step 4: Simplify right side
    216,273.71x = 36,044,658,210.21
  5. Step 5: Solve for x
    x = 36,044,658,210.21/216,273.71
  6. Step 6: Final answer
    x = 166,662.23

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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.