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Finding the Fourth Proportional to 216,166.50, 298,308.69 and 120,667.50

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Solution

The fourth proportional to 216,166.50, 298,308.69 and 120,667.50 is: 166,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,166.50 : 298,308.69 = 120,667.50 : x
  2. Step 2: Convert to fraction form
    216,166.50/298,308.69 = 120,667.50/x
  3. Step 3: Cross multiply
    216,166.50x = 298,308.69 × 120,667.50
  4. Step 4: Simplify right side
    216,166.50x = 35,996,163,850.58
  5. Step 5: Solve for x
    x = 35,996,163,850.58/216,166.50
  6. Step 6: Final answer
    x = 166,520.55

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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.