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Finding the Fourth Proportional to 361,185.93, 542,000.34 and 161,675.01

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Solution

The fourth proportional to 361,185.93, 542,000.34 and 161,675.01 is: 242,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,185.93 : 542,000.34 = 161,675.01 : x
  2. Step 2: Convert to fraction form
    361,185.93/542,000.34 = 161,675.01/x
  3. Step 3: Cross multiply
    361,185.93x = 542,000.34 × 161,675.01
  4. Step 4: Simplify right side
    361,185.93x = 87,627,910,389.50
  5. Step 5: Solve for x
    x = 87,627,910,389.50/361,185.93
  6. Step 6: Final answer
    x = 242,611.64

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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.