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Finding the Fourth Proportional to 144,052.50, 198,794.25 and 83,625.69

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Solution

The fourth proportional to 144,052.50, 198,794.25 and 83,625.69 is: 115,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,052.50 : 198,794.25 = 83,625.69 : x
  2. Step 2: Convert to fraction form
    144,052.50/198,794.25 = 83,625.69/x
  3. Step 3: Cross multiply
    144,052.50x = 198,794.25 × 83,625.69
  4. Step 4: Simplify right side
    144,052.50x = 16,624,306,324.28
  5. Step 5: Solve for x
    x = 16,624,306,324.28/144,052.50
  6. Step 6: Final answer
    x = 115,404.50

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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.