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Finding the Fourth Proportional to 133,765.16, 184,614.73 and 82,794.22

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Solution

The fourth proportional to 133,765.16, 184,614.73 and 82,794.22 is: 114,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,765.16 : 184,614.73 = 82,794.22 : x
  2. Step 2: Convert to fraction form
    133,765.16/184,614.73 = 82,794.22/x
  3. Step 3: Cross multiply
    133,765.16x = 184,614.73 × 82,794.22
  4. Step 4: Simplify right side
    133,765.16x = 15,285,031,902.34
  5. Step 5: Solve for x
    x = 15,285,031,902.34/133,765.16
  6. Step 6: Final answer
    x = 114,267.66

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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.