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Finding the Fourth Proportional to 216,419.88, 298,653.84 and 120,927.24

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Solution

The fourth proportional to 216,419.88, 298,653.84 and 120,927.24 is: 166,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,419.88 : 298,653.84 = 120,927.24 : x
  2. Step 2: Convert to fraction form
    216,419.88/298,653.84 = 120,927.24/x
  3. Step 3: Cross multiply
    216,419.88x = 298,653.84 × 120,927.24
  4. Step 4: Simplify right side
    216,419.88x = 36,115,384,586.60
  5. Step 5: Solve for x
    x = 36,115,384,586.60/216,419.88
  6. Step 6: Final answer
    x = 166,876.47

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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.