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Finding the Fourth Proportional to 133,816.20, 200,724.30 and 112,043.40

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Solution

The fourth proportional to 133,816.20, 200,724.30 and 112,043.40 is: 168,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,816.20 : 200,724.30 = 112,043.40 : x
  2. Step 2: Convert to fraction form
    133,816.20/200,724.30 = 112,043.40/x
  3. Step 3: Cross multiply
    133,816.20x = 200,724.30 × 112,043.40
  4. Step 4: Simplify right side
    133,816.20x = 22,489,833,034.62
  5. Step 5: Solve for x
    x = 22,489,833,034.62/133,816.20
  6. Step 6: Final answer
    x = 168,065.10

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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.