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Finding the Fourth Proportional to 216,101.52, 298,195.02 and 120,604.95

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Solution

The fourth proportional to 216,101.52, 298,195.02 and 120,604.95 is: 166,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,101.52 : 298,195.02 = 120,604.95 : x
  2. Step 2: Convert to fraction form
    216,101.52/298,195.02 = 120,604.95/x
  3. Step 3: Cross multiply
    216,101.52x = 298,195.02 × 120,604.95
  4. Step 4: Simplify right side
    216,101.52x = 35,963,795,477.35
  5. Step 5: Solve for x
    x = 35,963,795,477.35/216,101.52
  6. Step 6: Final answer
    x = 166,420.84

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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.