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Finding the Fourth Proportional to 216,091.26, 298,205.28 and 120,597.12

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Solution

The fourth proportional to 216,091.26, 298,205.28 and 120,597.12 is: 166,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,091.26 : 298,205.28 = 120,597.12 : x
  2. Step 2: Convert to fraction form
    216,091.26/298,205.28 = 120,597.12/x
  3. Step 3: Cross multiply
    216,091.26x = 298,205.28 × 120,597.12
  4. Step 4: Simplify right side
    216,091.26x = 35,962,697,936.79
  5. Step 5: Solve for x
    x = 35,962,697,936.79/216,091.26
  6. Step 6: Final answer
    x = 166,423.66

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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.