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Finding the Fourth Proportional to 188,444.89, 260,063.91 and 106,788.96

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Solution

The fourth proportional to 188,444.89, 260,063.91 and 106,788.96 is: 147,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,444.89 : 260,063.91 = 106,788.96 : x
  2. Step 2: Convert to fraction form
    188,444.89/260,063.91 = 106,788.96/x
  3. Step 3: Cross multiply
    188,444.89x = 260,063.91 × 106,788.96
  4. Step 4: Simplify right side
    188,444.89x = 27,771,954,732.13
  5. Step 5: Solve for x
    x = 27,771,954,732.13/188,444.89
  6. Step 6: Final answer
    x = 147,374.41

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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.