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Finding the Fourth Proportional to 188,592.18, 282,879.77 and 55,476.78

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Solution

The fourth proportional to 188,592.18, 282,879.77 and 55,476.78 is: 83,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,592.18 : 282,879.77 = 55,476.78 : x
  2. Step 2: Convert to fraction form
    188,592.18/282,879.77 = 55,476.78/x
  3. Step 3: Cross multiply
    188,592.18x = 282,879.77 × 55,476.78
  4. Step 4: Simplify right side
    188,592.18x = 15,693,258,489.36
  5. Step 5: Solve for x
    x = 15,693,258,489.36/188,592.18
  6. Step 6: Final answer
    x = 83,212.67

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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.