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Finding the Fourth Proportional to 216,108.42, 298,257.83 and 120,634.93

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Solution

The fourth proportional to 216,108.42, 298,257.83 and 120,634.93 is: 166,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,108.42 : 298,257.83 = 120,634.93 : x
  2. Step 2: Convert to fraction form
    216,108.42/298,257.83 = 120,634.93/x
  3. Step 3: Cross multiply
    216,108.42x = 298,257.83 × 120,634.93
  4. Step 4: Simplify right side
    216,108.42x = 35,980,312,444.00
  5. Step 5: Solve for x
    x = 35,980,312,444.00/216,108.42
  6. Step 6: Final answer
    x = 166,491.95

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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.