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Finding the Fourth Proportional to 133,816.60, 200,724.90 and 54,904.60

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Solution

The fourth proportional to 133,816.60, 200,724.90 and 54,904.60 is: 82,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816.60 : 200,724.90 = 54,904.60 : x
  2. Step 2: Convert to fraction form
    133,816.60/200,724.90 = 54,904.60/x
  3. Step 3: Cross multiply
    133,816.60x = 200,724.90 × 54,904.60
  4. Step 4: Simplify right side
    133,816.60x = 11,020,720,344.54
  5. Step 5: Solve for x
    x = 11,020,720,344.54/133,816.60
  6. Step 6: Final answer
    x = 82,356.90

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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.