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Finding the Fourth Proportional to 114,169.70, 157,450.12 and 98,031.97

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Solution

The fourth proportional to 114,169.70, 157,450.12 and 98,031.97 is: 135,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,169.70 : 157,450.12 = 98,031.97 : x
  2. Step 2: Convert to fraction form
    114,169.70/157,450.12 = 98,031.97/x
  3. Step 3: Cross multiply
    114,169.70x = 157,450.12 × 98,031.97
  4. Step 4: Simplify right side
    114,169.70x = 15,435,145,440.34
  5. Step 5: Solve for x
    x = 15,435,145,440.34/114,169.70
  6. Step 6: Final answer
    x = 135,194.76

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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.