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Finding the Fourth Proportional to 188,768.16, 283,201.23 and 70,440.39

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Solution

The fourth proportional to 188,768.16, 283,201.23 and 70,440.39 is: 105,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,768.16 : 283,201.23 = 70,440.39 : x
  2. Step 2: Convert to fraction form
    188,768.16/283,201.23 = 70,440.39/x
  3. Step 3: Cross multiply
    188,768.16x = 283,201.23 × 70,440.39
  4. Step 4: Simplify right side
    188,768.16x = 19,948,805,089.68
  5. Step 5: Solve for x
    x = 19,948,805,089.68/188,768.16
  6. Step 6: Final answer
    x = 105,678.87

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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.