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Finding the Fourth Proportional to 188,184.52, 282,247.56 and 55,033.48

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Solution

The fourth proportional to 188,184.52, 282,247.56 and 55,033.48 is: 82,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,184.52 : 282,247.56 = 55,033.48 : x
  2. Step 2: Convert to fraction form
    188,184.52/282,247.56 = 55,033.48/x
  3. Step 3: Cross multiply
    188,184.52x = 282,247.56 × 55,033.48
  4. Step 4: Simplify right side
    188,184.52x = 15,533,065,448.31
  5. Step 5: Solve for x
    x = 15,533,065,448.31/188,184.52
  6. Step 6: Final answer
    x = 82,541.67

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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.