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Finding the Fourth Proportional to 216,456.94, 298,709.70 and 120,963.61

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Solution

The fourth proportional to 216,456.94, 298,709.70 and 120,963.61 is: 166,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,456.94 : 298,709.70 = 120,963.61 : x
  2. Step 2: Convert to fraction form
    216,456.94/298,709.70 = 120,963.61/x
  3. Step 3: Cross multiply
    216,456.94x = 298,709.70 × 120,963.61
  4. Step 4: Simplify right side
    216,456.94x = 36,133,003,654.02
  5. Step 5: Solve for x
    x = 36,133,003,654.02/216,456.94
  6. Step 6: Final answer
    x = 166,929.29

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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.