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Finding the Fourth Proportional to 188,014, 281,880.75 and 113,116.60

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Solution

The fourth proportional to 188,014, 281,880.75 and 113,116.60 is: 169,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,014 : 281,880.75 = 113,116.60 : x
  2. Step 2: Convert to fraction form
    188,014/281,880.75 = 113,116.60/x
  3. Step 3: Cross multiply
    188,014x = 281,880.75 × 113,116.60
  4. Step 4: Simplify right side
    188,014x = 31,885,392,045.45
  5. Step 5: Solve for x
    x = 31,885,392,045.45/188,014
  6. Step 6: Final answer
    x = 169,590.52

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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.