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Finding the Fourth Proportional to 201,195.42, 277,655.67 and 111,769.50

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Solution

The fourth proportional to 201,195.42, 277,655.67 and 111,769.50 is: 154,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,195.42 : 277,655.67 = 111,769.50 : x
  2. Step 2: Convert to fraction form
    201,195.42/277,655.67 = 111,769.50/x
  3. Step 3: Cross multiply
    201,195.42x = 277,655.67 × 111,769.50
  4. Step 4: Simplify right side
    201,195.42x = 31,033,435,408.07
  5. Step 5: Solve for x
    x = 31,033,435,408.07/201,195.42
  6. Step 6: Final answer
    x = 154,245.24

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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.