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Finding the Fourth Proportional to 130,102.92, 195,021.45 and 73,824.15

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Solution

The fourth proportional to 130,102.92, 195,021.45 and 73,824.15 is: 110,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,102.92 : 195,021.45 = 73,824.15 : x
  2. Step 2: Convert to fraction form
    130,102.92/195,021.45 = 73,824.15/x
  3. Step 3: Cross multiply
    130,102.92x = 195,021.45 × 73,824.15
  4. Step 4: Simplify right side
    130,102.92x = 14,397,292,778.02
  5. Step 5: Solve for x
    x = 14,397,292,778.02/130,102.92
  6. Step 6: Final answer
    x = 110,660.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.