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Finding the Fourth Proportional to 361,186.68, 542,001.47 and 161,675.76

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Solution

The fourth proportional to 361,186.68, 542,001.47 and 161,675.76 is: 242,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,186.68 : 542,001.47 = 161,675.76 : x
  2. Step 2: Convert to fraction form
    361,186.68/542,001.47 = 161,675.76/x
  3. Step 3: Cross multiply
    361,186.68x = 542,001.47 × 161,675.76
  4. Step 4: Simplify right side
    361,186.68x = 87,628,498,774.99
  5. Step 5: Solve for x
    x = 87,628,498,774.99/361,186.68
  6. Step 6: Final answer
    x = 242,612.76

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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.