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Finding the Fourth Proportional to 102,099.74, 153,165.96 and 35,558.78

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Solution

The fourth proportional to 102,099.74, 153,165.96 and 35,558.78 is: 53,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.74 : 153,165.96 = 35,558.78 : x
  2. Step 2: Convert to fraction form
    102,099.74/153,165.96 = 35,558.78/x
  3. Step 3: Cross multiply
    102,099.74x = 153,165.96 × 35,558.78
  4. Step 4: Simplify right side
    102,099.74x = 5,446,394,675.13
  5. Step 5: Solve for x
    x = 5,446,394,675.13/102,099.74
  6. Step 6: Final answer
    x = 53,343.86

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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.