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Finding the Fourth Proportional to 361,894.60, 542,841.90 and 162,002.80

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Solution

The fourth proportional to 361,894.60, 542,841.90 and 162,002.80 is: 243,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,894.60 : 542,841.90 = 162,002.80 : x
  2. Step 2: Convert to fraction form
    361,894.60/542,841.90 = 162,002.80/x
  3. Step 3: Cross multiply
    361,894.60x = 542,841.90 × 162,002.80
  4. Step 4: Simplify right side
    361,894.60x = 87,941,907,757.32
  5. Step 5: Solve for x
    x = 87,941,907,757.32/361,894.60
  6. Step 6: Final answer
    x = 243,004.20

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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.