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Finding the Fourth Proportional to 188,940.85, 283,416.74 and 48,699.47

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Solution

The fourth proportional to 188,940.85, 283,416.74 and 48,699.47 is: 73,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,940.85 : 283,416.74 = 48,699.47 : x
  2. Step 2: Convert to fraction form
    188,940.85/283,416.74 = 48,699.47/x
  3. Step 3: Cross multiply
    188,940.85x = 283,416.74 × 48,699.47
  4. Step 4: Simplify right side
    188,940.85x = 13,802,245,492.17
  5. Step 5: Solve for x
    x = 13,802,245,492.17/188,940.85
  6. Step 6: Final answer
    x = 73,050.62

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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.