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Finding the Fourth Proportional to 188,809.77, 283,215.39 and 76,492.11

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Solution

The fourth proportional to 188,809.77, 283,215.39 and 76,492.11 is: 114,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,809.77 : 283,215.39 = 76,492.11 : x
  2. Step 2: Convert to fraction form
    188,809.77/283,215.39 = 76,492.11/x
  3. Step 3: Cross multiply
    188,809.77x = 283,215.39 × 76,492.11
  4. Step 4: Simplify right side
    188,809.77x = 21,663,742,765.57
  5. Step 5: Solve for x
    x = 21,663,742,765.57/188,809.77
  6. Step 6: Final answer
    x = 114,738.46

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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.