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Finding the Fourth Proportional to 354,410.20, 531,431.70 and 105,059.80

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Solution

The fourth proportional to 354,410.20, 531,431.70 and 105,059.80 is: 157,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,410.20 : 531,431.70 = 105,059.80 : x
  2. Step 2: Convert to fraction form
    354,410.20/531,431.70 = 105,059.80/x
  3. Step 3: Cross multiply
    354,410.20x = 531,431.70 × 105,059.80
  4. Step 4: Simplify right side
    354,410.20x = 55,832,108,115.66
  5. Step 5: Solve for x
    x = 55,832,108,115.66/354,410.20
  6. Step 6: Final answer
    x = 157,535.27

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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.