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Finding the Fourth Proportional to 216,117.77, 298,215 and 120,628.49

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Solution

The fourth proportional to 216,117.77, 298,215 and 120,628.49 is: 166,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,117.77 : 298,215 = 120,628.49 : x
  2. Step 2: Convert to fraction form
    216,117.77/298,215 = 120,628.49/x
  3. Step 3: Cross multiply
    216,117.77x = 298,215 × 120,628.49
  4. Step 4: Simplify right side
    216,117.77x = 35,973,223,654.28
  5. Step 5: Solve for x
    x = 35,973,223,654.28/216,117.77
  6. Step 6: Final answer
    x = 166,451.95

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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.