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Finding the Fourth Proportional to 199,570.56, 275,409.96 and 117,901.50

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Solution

The fourth proportional to 199,570.56, 275,409.96 and 117,901.50 is: 162,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,570.56 : 275,409.96 = 117,901.50 : x
  2. Step 2: Convert to fraction form
    199,570.56/275,409.96 = 117,901.50/x
  3. Step 3: Cross multiply
    199,570.56x = 275,409.96 × 117,901.50
  4. Step 4: Simplify right side
    199,570.56x = 32,471,247,398.94
  5. Step 5: Solve for x
    x = 32,471,247,398.94/199,570.56
  6. Step 6: Final answer
    x = 162,705.60

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Why These Related Problems?

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