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Finding the Fourth Proportional to 188,739.70, 282,857.88 and 70,291.78

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Solution

The fourth proportional to 188,739.70, 282,857.88 and 70,291.78 is: 105,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,739.70 : 282,857.88 = 70,291.78 : x
  2. Step 2: Convert to fraction form
    188,739.70/282,857.88 = 70,291.78/x
  3. Step 3: Cross multiply
    188,739.70x = 282,857.88 × 70,291.78
  4. Step 4: Simplify right side
    188,739.70x = 19,882,583,872.23
  5. Step 5: Solve for x
    x = 19,882,583,872.23/188,739.70
  6. Step 6: Final answer
    x = 105,343.94

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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.