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Finding the Fourth Proportional to 199,854.34, 275,795.67 and 109,208.37

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Solution

The fourth proportional to 199,854.34, 275,795.67 and 109,208.37 is: 150,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,854.34 : 275,795.67 = 109,208.37 : x
  2. Step 2: Convert to fraction form
    199,854.34/275,795.67 = 109,208.37/x
  3. Step 3: Cross multiply
    199,854.34x = 275,795.67 × 109,208.37
  4. Step 4: Simplify right side
    199,854.34x = 30,119,195,573.76
  5. Step 5: Solve for x
    x = 30,119,195,573.76/199,854.34
  6. Step 6: Final answer
    x = 150,705.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.