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Finding the Fourth Proportional to 301,178.76, 451,543.41 and 181,207.59

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Solution

The fourth proportional to 301,178.76, 451,543.41 and 181,207.59 is: 271,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,178.76 : 451,543.41 = 181,207.59 : x
  2. Step 2: Convert to fraction form
    301,178.76/451,543.41 = 181,207.59/x
  3. Step 3: Cross multiply
    301,178.76x = 451,543.41 × 181,207.59
  4. Step 4: Simplify right side
    301,178.76x = 81,823,093,106.48
  5. Step 5: Solve for x
    x = 81,823,093,106.48/301,178.76
  6. Step 6: Final answer
    x = 271,676.17

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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.