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Finding the Fourth Proportional to 125,824.44, 188,770.40 and 54,762.36

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Solution

The fourth proportional to 125,824.44, 188,770.40 and 54,762.36 is: 82,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,824.44 : 188,770.40 = 54,762.36 : x
  2. Step 2: Convert to fraction form
    125,824.44/188,770.40 = 54,762.36/x
  3. Step 3: Cross multiply
    125,824.44x = 188,770.40 × 54,762.36
  4. Step 4: Simplify right side
    125,824.44x = 10,337,512,602.14
  5. Step 5: Solve for x
    x = 10,337,512,602.14/125,824.44
  6. Step 6: Final answer
    x = 82,158.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.