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Finding the Fourth Proportional to 216,203.25, 298,274.58 and 144,469.65

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Solution

The fourth proportional to 216,203.25, 298,274.58 and 144,469.65 is: 199,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,203.25 : 298,274.58 = 144,469.65 : x
  2. Step 2: Convert to fraction form
    216,203.25/298,274.58 = 144,469.65/x
  3. Step 3: Cross multiply
    216,203.25x = 298,274.58 × 144,469.65
  4. Step 4: Simplify right side
    216,203.25x = 43,091,624,176.50
  5. Step 5: Solve for x
    x = 43,091,624,176.50/216,203.25
  6. Step 6: Final answer
    x = 199,310.71

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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.