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Finding the Fourth Proportional to 288,513.25, 398,140.95 and 161,189.80

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Solution

The fourth proportional to 288,513.25, 398,140.95 and 161,189.80 is: 222,437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,513.25 : 398,140.95 = 161,189.80 : x
  2. Step 2: Convert to fraction form
    288,513.25/398,140.95 = 161,189.80/x
  3. Step 3: Cross multiply
    288,513.25x = 398,140.95 × 161,189.80
  4. Step 4: Simplify right side
    288,513.25x = 64,176,260,102.31
  5. Step 5: Solve for x
    x = 64,176,260,102.31/288,513.25
  6. Step 6: Final answer
    x = 222,437.83

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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.