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Finding the Fourth Proportional to 114,294.67, 157,704.24 and 71,828.67

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Solution

The fourth proportional to 114,294.67, 157,704.24 and 71,828.67 is: 99,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,294.67 : 157,704.24 = 71,828.67 : x
  2. Step 2: Convert to fraction form
    114,294.67/157,704.24 = 71,828.67/x
  3. Step 3: Cross multiply
    114,294.67x = 157,704.24 × 71,828.67
  4. Step 4: Simplify right side
    114,294.67x = 11,327,685,812.56
  5. Step 5: Solve for x
    x = 11,327,685,812.56/114,294.67
  6. Step 6: Final answer
    x = 99,109.48

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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.