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Finding the Fourth Proportional to 188,282.20, 282,334.20 and 109,420.60

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Solution

The fourth proportional to 188,282.20, 282,334.20 and 109,420.60 is: 164,079.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282.20 : 282,334.20 = 109,420.60 : x
  2. Step 2: Convert to fraction form
    188,282.20/282,334.20 = 109,420.60/x
  3. Step 3: Cross multiply
    188,282.20x = 282,334.20 × 109,420.60
  4. Step 4: Simplify right side
    188,282.20x = 30,893,177,564.52
  5. Step 5: Solve for x
    x = 30,893,177,564.52/188,282.20
  6. Step 6: Final answer
    x = 164,079.12

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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.