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Finding the Fourth Proportional to 188,897.40, 283,346.10 and 177,816.60

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Solution

The fourth proportional to 188,897.40, 283,346.10 and 177,816.60 is: 266,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,897.40 : 283,346.10 = 177,816.60 : x
  2. Step 2: Convert to fraction form
    188,897.40/283,346.10 = 177,816.60/x
  3. Step 3: Cross multiply
    188,897.40x = 283,346.10 × 177,816.60
  4. Step 4: Simplify right side
    188,897.40x = 50,383,640,125.26
  5. Step 5: Solve for x
    x = 50,383,640,125.26/188,897.40
  6. Step 6: Final answer
    x = 266,724.90

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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.