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Finding the Fourth Proportional to 355,540.50, 533,310.80 and 106,222.50

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Solution

The fourth proportional to 355,540.50, 533,310.80 and 106,222.50 is: 159,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,540.50 : 533,310.80 = 106,222.50 : x
  2. Step 2: Convert to fraction form
    355,540.50/533,310.80 = 106,222.50/x
  3. Step 3: Cross multiply
    355,540.50x = 533,310.80 × 106,222.50
  4. Step 4: Simplify right side
    355,540.50x = 56,649,605,921.89
  5. Step 5: Solve for x
    x = 56,649,605,921.89/355,540.50
  6. Step 6: Final answer
    x = 159,333.76

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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.