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Finding the Fourth Proportional to 133,568, 184,304.64 and 113,505.28

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Solution

The fourth proportional to 133,568, 184,304.64 and 113,505.28 is: 156,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568 : 184,304.64 = 113,505.28 : x
  2. Step 2: Convert to fraction form
    133,568/184,304.64 = 113,505.28/x
  3. Step 3: Cross multiply
    133,568x = 184,304.64 × 113,505.28
  4. Step 4: Simplify right side
    133,568x = 20,919,549,768.50
  5. Step 5: Solve for x
    x = 20,919,549,768.50/133,568
  6. Step 6: Final answer
    x = 156,620.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.