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Finding the Fourth Proportional to 216,223.02, 298,375.02 and 120,735.72

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Solution

The fourth proportional to 216,223.02, 298,375.02 and 120,735.72 is: 166,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,223.02 : 298,375.02 = 120,735.72 : x
  2. Step 2: Convert to fraction form
    216,223.02/298,375.02 = 120,735.72/x
  3. Step 3: Cross multiply
    216,223.02x = 298,375.02 × 120,735.72
  4. Step 4: Simplify right side
    216,223.02x = 36,024,522,869.71
  5. Step 5: Solve for x
    x = 36,024,522,869.71/216,223.02
  6. Step 6: Final answer
    x = 166,608.18

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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.