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Finding the Fourth Proportional to 188,733.50, 283,144 and 64,074.50

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Solution

The fourth proportional to 188,733.50, 283,144 and 64,074.50 is: 96,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,733.50 : 283,144 = 64,074.50 : x
  2. Step 2: Convert to fraction form
    188,733.50/283,144 = 64,074.50/x
  3. Step 3: Cross multiply
    188,733.50x = 283,144 × 64,074.50
  4. Step 4: Simplify right side
    188,733.50x = 18,142,310,228
  5. Step 5: Solve for x
    x = 18,142,310,228/188,733.50
  6. Step 6: Final answer
    x = 96,126.60

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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.