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Finding the Fourth Proportional to 199,096.24, 274,752.84 and 109,672.24

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Solution

The fourth proportional to 199,096.24, 274,752.84 and 109,672.24 is: 151,347.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,096.24 : 274,752.84 = 109,672.24 : x
  2. Step 2: Convert to fraction form
    199,096.24/274,752.84 = 109,672.24/x
  3. Step 3: Cross multiply
    199,096.24x = 274,752.84 × 109,672.24
  4. Step 4: Simplify right side
    199,096.24x = 30,132,759,409.16
  5. Step 5: Solve for x
    x = 30,132,759,409.16/199,096.24
  6. Step 6: Final answer
    x = 151,347.71

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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.