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Finding the Fourth Proportional to 361,630, 542,445.04 and 140,014

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Solution

The fourth proportional to 361,630, 542,445.04 and 140,014 is: 210,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,630 : 542,445.04 = 140,014 : x
  2. Step 2: Convert to fraction form
    361,630/542,445.04 = 140,014/x
  3. Step 3: Cross multiply
    361,630x = 542,445.04 × 140,014
  4. Step 4: Simplify right side
    361,630x = 75,949,899,830.56
  5. Step 5: Solve for x
    x = 75,949,899,830.56/361,630
  6. Step 6: Final answer
    x = 210,021.02

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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.