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Finding the Fourth Proportional to 361,863.10, 542,859.45 and 151,522.30

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Solution

The fourth proportional to 361,863.10, 542,859.45 and 151,522.30 is: 227,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,863.10 : 542,859.45 = 151,522.30 : x
  2. Step 2: Convert to fraction form
    361,863.10/542,859.45 = 151,522.30/x
  3. Step 3: Cross multiply
    361,863.10x = 542,859.45 × 151,522.30
  4. Step 4: Simplify right side
    361,863.10x = 82,255,312,440.74
  5. Step 5: Solve for x
    x = 82,255,312,440.74/361,863.10
  6. Step 6: Final answer
    x = 227,310.58

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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.