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Finding the Fourth Proportional to 184,048.64, 275,886.96 and 71,658.80

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Solution

The fourth proportional to 184,048.64, 275,886.96 and 71,658.80 is: 107,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,048.64 : 275,886.96 = 71,658.80 : x
  2. Step 2: Convert to fraction form
    184,048.64/275,886.96 = 71,658.80/x
  3. Step 3: Cross multiply
    184,048.64x = 275,886.96 × 71,658.80
  4. Step 4: Simplify right side
    184,048.64x = 19,769,728,489.25
  5. Step 5: Solve for x
    x = 19,769,728,489.25/184,048.64
  6. Step 6: Final answer
    x = 107,415.78

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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.