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Finding the Fourth Proportional to 216,434.25, 298,678.34 and 120,940.94

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Solution

The fourth proportional to 216,434.25, 298,678.34 and 120,940.94 is: 166,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,434.25 : 298,678.34 = 120,940.94 : x
  2. Step 2: Convert to fraction form
    216,434.25/298,678.34 = 120,940.94/x
  3. Step 3: Cross multiply
    216,434.25x = 298,678.34 × 120,940.94
  4. Step 4: Simplify right side
    216,434.25x = 36,122,440,246.29
  5. Step 5: Solve for x
    x = 36,122,440,246.29/216,434.25
  6. Step 6: Final answer
    x = 166,897.99

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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.