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Finding the Fourth Proportional to 216,435.66, 298,675.49 and 120,943.14

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Solution

The fourth proportional to 216,435.66, 298,675.49 and 120,943.14 is: 166,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,435.66 : 298,675.49 = 120,943.14 : x
  2. Step 2: Convert to fraction form
    216,435.66/298,675.49 = 120,943.14/x
  3. Step 3: Cross multiply
    216,435.66x = 298,675.49 × 120,943.14
  4. Step 4: Simplify right side
    216,435.66x = 36,122,750,996.92
  5. Step 5: Solve for x
    x = 36,122,750,996.92/216,435.66
  6. Step 6: Final answer
    x = 166,898.33

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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.