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Finding the Fourth Proportional to 361,251.40, 542,184.30 and 161,878.60

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Solution

The fourth proportional to 361,251.40, 542,184.30 and 161,878.60 is: 242,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,251.40 : 542,184.30 = 161,878.60 : x
  2. Step 2: Convert to fraction form
    361,251.40/542,184.30 = 161,878.60/x
  3. Step 3: Cross multiply
    361,251.40x = 542,184.30 × 161,878.60
  4. Step 4: Simplify right side
    361,251.40x = 87,768,035,425.98
  5. Step 5: Solve for x
    x = 87,768,035,425.98/361,251.40
  6. Step 6: Final answer
    x = 242,955.56

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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.