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Finding the Fourth Proportional to 114,328, 157,772.68 and 64,027

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Solution

The fourth proportional to 114,328, 157,772.68 and 64,027 is: 88,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,328 : 157,772.68 = 64,027 : x
  2. Step 2: Convert to fraction form
    114,328/157,772.68 = 64,027/x
  3. Step 3: Cross multiply
    114,328x = 157,772.68 × 64,027
  4. Step 4: Simplify right side
    114,328x = 10,101,711,382.36
  5. Step 5: Solve for x
    x = 10,101,711,382.36/114,328
  6. Step 6: Final answer
    x = 88,357.28

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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.