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Finding the Fourth Proportional to 288,185.76, 397,683.54 and 160,858.44

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Solution

The fourth proportional to 288,185.76, 397,683.54 and 160,858.44 is: 221,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,185.76 : 397,683.54 = 160,858.44 : x
  2. Step 2: Convert to fraction form
    288,185.76/397,683.54 = 160,858.44/x
  3. Step 3: Cross multiply
    288,185.76x = 397,683.54 × 160,858.44
  4. Step 4: Simplify right side
    288,185.76x = 63,970,753,858.08
  5. Step 5: Solve for x
    x = 63,970,753,858.08/288,185.76
  6. Step 6: Final answer
    x = 221,977.50

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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.