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Finding the Fourth Proportional to 201,938.70, 278,674.11 and 111,294.75

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Solution

The fourth proportional to 201,938.70, 278,674.11 and 111,294.75 is: 153,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938.70 : 278,674.11 = 111,294.75 : x
  2. Step 2: Convert to fraction form
    201,938.70/278,674.11 = 111,294.75/x
  3. Step 3: Cross multiply
    201,938.70x = 278,674.11 × 111,294.75
  4. Step 4: Simplify right side
    201,938.70x = 31,014,965,403.92
  5. Step 5: Solve for x
    x = 31,014,965,403.92/201,938.70
  6. Step 6: Final answer
    x = 153,586.04

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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.