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Finding the Fourth Proportional to 188,313.26, 282,469.80 and 48,071.84

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Solution

The fourth proportional to 188,313.26, 282,469.80 and 48,071.84 is: 72,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,313.26 : 282,469.80 = 48,071.84 : x
  2. Step 2: Convert to fraction form
    188,313.26/282,469.80 = 48,071.84/x
  3. Step 3: Cross multiply
    188,313.26x = 282,469.80 × 48,071.84
  4. Step 4: Simplify right side
    188,313.26x = 13,578,843,030.43
  5. Step 5: Solve for x
    x = 13,578,843,030.43/188,313.26
  6. Step 6: Final answer
    x = 72,107.74

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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.