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Finding the Fourth Proportional to 133,844.32, 200,732.80 and 54,980.32

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Solution

The fourth proportional to 133,844.32, 200,732.80 and 54,980.32 is: 82,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,844.32 : 200,732.80 = 54,980.32 : x
  2. Step 2: Convert to fraction form
    133,844.32/200,732.80 = 54,980.32/x
  3. Step 3: Cross multiply
    133,844.32x = 200,732.80 × 54,980.32
  4. Step 4: Simplify right side
    133,844.32x = 11,036,353,578.50
  5. Step 5: Solve for x
    x = 11,036,353,578.50/133,844.32
  6. Step 6: Final answer
    x = 82,456.64

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1.5x scale

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.