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Finding the Fourth Proportional to 96,197, 144,288.62 and 29,630.18

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Solution

The fourth proportional to 96,197, 144,288.62 and 29,630.18 is: 44,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,197 : 144,288.62 = 29,630.18 : x
  2. Step 2: Convert to fraction form
    96,197/144,288.62 = 29,630.18/x
  3. Step 3: Cross multiply
    96,197x = 144,288.62 × 29,630.18
  4. Step 4: Simplify right side
    96,197x = 4,275,297,782.55
  5. Step 5: Solve for x
    x = 4,275,297,782.55/96,197
  6. Step 6: Final answer
    x = 44,443.15

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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.