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Finding the Fourth Proportional to 216,477.52, 298,739.40 and 120,984.21

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Solution

The fourth proportional to 216,477.52, 298,739.40 and 120,984.21 is: 166,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,477.52 : 298,739.40 = 120,984.21 : x
  2. Step 2: Convert to fraction form
    216,477.52/298,739.40 = 120,984.21/x
  3. Step 3: Cross multiply
    216,477.52x = 298,739.40 × 120,984.21
  4. Step 4: Simplify right side
    216,477.52x = 36,142,750,304.87
  5. Step 5: Solve for x
    x = 36,142,750,304.87/216,477.52
  6. Step 6: Final answer
    x = 166,958.45

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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.