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Finding the Fourth Proportional to 188,534, 282,729.18 and 83,295.56

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Solution

The fourth proportional to 188,534, 282,729.18 and 83,295.56 is: 124,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,534 : 282,729.18 = 83,295.56 : x
  2. Step 2: Convert to fraction form
    188,534/282,729.18 = 83,295.56/x
  3. Step 3: Cross multiply
    188,534x = 282,729.18 × 83,295.56
  4. Step 4: Simplify right side
    188,534x = 23,550,085,376.44
  5. Step 5: Solve for x
    x = 23,550,085,376.44/188,534
  6. Step 6: Final answer
    x = 124,911.61

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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.