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Finding the Fourth Proportional to 235,564.20, 325,110.78 and 160,137

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Solution

The fourth proportional to 235,564.20, 325,110.78 and 160,137 is: 221,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,564.20 : 325,110.78 = 160,137 : x
  2. Step 2: Convert to fraction form
    235,564.20/325,110.78 = 160,137/x
  3. Step 3: Cross multiply
    235,564.20x = 325,110.78 × 160,137
  4. Step 4: Simplify right side
    235,564.20x = 52,062,264,976.86
  5. Step 5: Solve for x
    x = 52,062,264,976.86/235,564.20
  6. Step 6: Final answer
    x = 221,010.94

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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.