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Finding the Fourth Proportional to 133,507.54, 184,286.49 and 76,941.46

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Solution

The fourth proportional to 133,507.54, 184,286.49 and 76,941.46 is: 106,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,507.54 : 184,286.49 = 76,941.46 : x
  2. Step 2: Convert to fraction form
    133,507.54/184,286.49 = 76,941.46/x
  3. Step 3: Cross multiply
    133,507.54x = 184,286.49 × 76,941.46
  4. Step 4: Simplify right side
    133,507.54x = 14,179,271,598.88
  5. Step 5: Solve for x
    x = 14,179,271,598.88/133,507.54
  6. Step 6: Final answer
    x = 106,205.77

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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.