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Finding the Fourth Proportional to 356,000.69, 533,917.97 and 103,213.33

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Solution

The fourth proportional to 356,000.69, 533,917.97 and 103,213.33 is: 154,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,000.69 : 533,917.97 = 103,213.33 : x
  2. Step 2: Convert to fraction form
    356,000.69/533,917.97 = 103,213.33/x
  3. Step 3: Cross multiply
    356,000.69x = 533,917.97 × 103,213.33
  4. Step 4: Simplify right side
    356,000.69x = 55,107,449,779.68
  5. Step 5: Solve for x
    x = 55,107,449,779.68/356,000.69
  6. Step 6: Final answer
    x = 154,795.91

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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.