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Finding the Fourth Proportional to 301,178.88, 415,635.84 and 167,040

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Solution

The fourth proportional to 301,178.88, 415,635.84 and 167,040 is: 230,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,178.88 : 415,635.84 = 167,040 : x
  2. Step 2: Convert to fraction form
    301,178.88/415,635.84 = 167,040/x
  3. Step 3: Cross multiply
    301,178.88x = 415,635.84 × 167,040
  4. Step 4: Simplify right side
    301,178.88x = 69,427,810,713.60
  5. Step 5: Solve for x
    x = 69,427,810,713.60/301,178.88
  6. Step 6: Final answer
    x = 230,520.18

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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.