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Finding the Fourth Proportional to 216,424.12, 298,645.86 and 120,917.56

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Solution

The fourth proportional to 216,424.12, 298,645.86 and 120,917.56 is: 166,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,424.12 : 298,645.86 = 120,917.56 : x
  2. Step 2: Convert to fraction form
    216,424.12/298,645.86 = 120,917.56/x
  3. Step 3: Cross multiply
    216,424.12x = 298,645.86 × 120,917.56
  4. Step 4: Simplify right side
    216,424.12x = 36,111,528,695.30
  5. Step 5: Solve for x
    x = 36,111,528,695.30/216,424.12
  6. Step 6: Final answer
    x = 166,855.38

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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.