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Finding the Fourth Proportional to 188,648.55, 282,942.07 and 55,497.67

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Solution

The fourth proportional to 188,648.55, 282,942.07 and 55,497.67 is: 83,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,648.55 : 282,942.07 = 55,497.67 : x
  2. Step 2: Convert to fraction form
    188,648.55/282,942.07 = 55,497.67/x
  3. Step 3: Cross multiply
    188,648.55x = 282,942.07 × 55,497.67
  4. Step 4: Simplify right side
    188,648.55x = 15,702,624,783.88
  5. Step 5: Solve for x
    x = 15,702,624,783.88/188,648.55
  6. Step 6: Final answer
    x = 83,237.45

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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.