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Finding the Fourth Proportional to 216,154.62, 298,323.36 and 120,667.50

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Solution

The fourth proportional to 216,154.62, 298,323.36 and 120,667.50 is: 166,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,154.62 : 298,323.36 = 120,667.50 : x
  2. Step 2: Convert to fraction form
    216,154.62/298,323.36 = 120,667.50/x
  3. Step 3: Cross multiply
    216,154.62x = 298,323.36 × 120,667.50
  4. Step 4: Simplify right side
    216,154.62x = 35,997,934,042.80
  5. Step 5: Solve for x
    x = 35,997,934,042.80/216,154.62
  6. Step 6: Final answer
    x = 166,537.89

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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.