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Finding the Fourth Proportional to 354,537.58, 531,806.10 and 105,219.58

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Solution

The fourth proportional to 354,537.58, 531,806.10 and 105,219.58 is: 157,829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,537.58 : 531,806.10 = 105,219.58 : x
  2. Step 2: Convert to fraction form
    354,537.58/531,806.10 = 105,219.58/x
  3. Step 3: Cross multiply
    354,537.58x = 531,806.10 × 105,219.58
  4. Step 4: Simplify right side
    354,537.58x = 55,956,414,483.44
  5. Step 5: Solve for x
    x = 55,956,414,483.44/354,537.58
  6. Step 6: Final answer
    x = 157,829.29

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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.