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Finding the Fourth Proportional to 102,626.80, 153,940.20 and 96,017.20

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Solution

The fourth proportional to 102,626.80, 153,940.20 and 96,017.20 is: 144,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,626.80 : 153,940.20 = 96,017.20 : x
  2. Step 2: Convert to fraction form
    102,626.80/153,940.20 = 96,017.20/x
  3. Step 3: Cross multiply
    102,626.80x = 153,940.20 × 96,017.20
  4. Step 4: Simplify right side
    102,626.80x = 14,780,906,971.44
  5. Step 5: Solve for x
    x = 14,780,906,971.44/102,626.80
  6. Step 6: Final answer
    x = 144,025.80

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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.