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Finding the Fourth Proportional to 133,580.28, 200,363.22 and 33,739.32

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Solution

The fourth proportional to 133,580.28, 200,363.22 and 33,739.32 is: 50,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,580.28 : 200,363.22 = 33,739.32 : x
  2. Step 2: Convert to fraction form
    133,580.28/200,363.22 = 33,739.32/x
  3. Step 3: Cross multiply
    133,580.28x = 200,363.22 × 33,739.32
  4. Step 4: Simplify right side
    133,580.28x = 6,760,118,795.81
  5. Step 5: Solve for x
    x = 6,760,118,795.81/133,580.28
  6. Step 6: Final answer
    x = 50,607.16

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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.