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Finding the Fourth Proportional to 188,910.48, 260,541.48 and 137,865.84

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Solution

The fourth proportional to 188,910.48, 260,541.48 and 137,865.84 is: 190,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,910.48 : 260,541.48 = 137,865.84 : x
  2. Step 2: Convert to fraction form
    188,910.48/260,541.48 = 137,865.84/x
  3. Step 3: Cross multiply
    188,910.48x = 260,541.48 × 137,865.84
  4. Step 4: Simplify right side
    188,910.48x = 35,919,769,995.04
  5. Step 5: Solve for x
    x = 35,919,769,995.04/188,910.48
  6. Step 6: Final answer
    x = 190,141.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.