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Finding the Fourth Proportional to 114,644.25, 158,209.07 and 64,343.25

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Solution

The fourth proportional to 114,644.25, 158,209.07 and 64,343.25 is: 88,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,644.25 : 158,209.07 = 64,343.25 : x
  2. Step 2: Convert to fraction form
    114,644.25/158,209.07 = 64,343.25/x
  3. Step 3: Cross multiply
    114,644.25x = 158,209.07 × 64,343.25
  4. Step 4: Simplify right side
    114,644.25x = 10,179,685,421.56
  5. Step 5: Solve for x
    x = 10,179,685,421.56/114,644.25
  6. Step 6: Final answer
    x = 88,793.69

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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.