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Finding the Fourth Proportional to 216,056.94, 298,158.50 and 120,564.22

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Solution

The fourth proportional to 216,056.94, 298,158.50 and 120,564.22 is: 166,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,056.94 : 298,158.50 = 120,564.22 : x
  2. Step 2: Convert to fraction form
    216,056.94/298,158.50 = 120,564.22/x
  3. Step 3: Cross multiply
    216,056.94x = 298,158.50 × 120,564.22
  4. Step 4: Simplify right side
    216,056.94x = 35,947,246,988.87
  5. Step 5: Solve for x
    x = 35,947,246,988.87/216,056.94
  6. Step 6: Final answer
    x = 166,378.58

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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.