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Finding the Fourth Proportional to 208,732.86, 287,873.50 and 160,451.64

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Solution

The fourth proportional to 208,732.86, 287,873.50 and 160,451.64 is: 221,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,732.86 : 287,873.50 = 160,451.64 : x
  2. Step 2: Convert to fraction form
    208,732.86/287,873.50 = 160,451.64/x
  3. Step 3: Cross multiply
    208,732.86x = 287,873.50 × 160,451.64
  4. Step 4: Simplify right side
    208,732.86x = 46,189,775,187.54
  5. Step 5: Solve for x
    x = 46,189,775,187.54/208,732.86
  6. Step 6: Final answer
    x = 221,286.55

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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.