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Finding the Fourth Proportional to 133,509.12, 184,242.96 and 73,893.12

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Solution

The fourth proportional to 133,509.12, 184,242.96 and 73,893.12 is: 101,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,509.12 : 184,242.96 = 73,893.12 : x
  2. Step 2: Convert to fraction form
    133,509.12/184,242.96 = 73,893.12/x
  3. Step 3: Cross multiply
    133,509.12x = 184,242.96 × 73,893.12
  4. Step 4: Simplify right side
    133,509.12x = 13,614,287,152.44
  5. Step 5: Solve for x
    x = 13,614,287,152.44/133,509.12
  6. Step 6: Final answer
    x = 101,972.71

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1.5x scale

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.