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Finding the Fourth Proportional to 114,958.31, 158,640.93 and 64,657.31

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Solution

The fourth proportional to 114,958.31, 158,640.93 and 64,657.31 is: 89,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,958.31 : 158,640.93 = 64,657.31 : x
  2. Step 2: Convert to fraction form
    114,958.31/158,640.93 = 64,657.31/x
  3. Step 3: Cross multiply
    114,958.31x = 158,640.93 × 64,657.31
  4. Step 4: Simplify right side
    114,958.31x = 10,257,295,789.70
  5. Step 5: Solve for x
    x = 10,257,295,789.70/114,958.31
  6. Step 6: Final answer
    x = 89,226.22

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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.