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Finding the Fourth Proportional to 216,086.58, 298,214.55 and 120,594.84

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Solution

The fourth proportional to 216,086.58, 298,214.55 and 120,594.84 is: 166,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,086.58 : 298,214.55 = 120,594.84 : x
  2. Step 2: Convert to fraction form
    216,086.58/298,214.55 = 120,594.84/x
  3. Step 3: Cross multiply
    216,086.58x = 298,214.55 × 120,594.84
  4. Step 4: Simplify right side
    216,086.58x = 35,963,135,942.92
  5. Step 5: Solve for x
    x = 35,963,135,942.92/216,086.58
  6. Step 6: Final answer
    x = 166,429.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.