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Finding the Fourth Proportional to 126,522, 174,600.36 and 76,231.44

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Solution

The fourth proportional to 126,522, 174,600.36 and 76,231.44 is: 105,199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,522 : 174,600.36 = 76,231.44 : x
  2. Step 2: Convert to fraction form
    126,522/174,600.36 = 76,231.44/x
  3. Step 3: Cross multiply
    126,522x = 174,600.36 × 76,231.44
  4. Step 4: Simplify right side
    126,522x = 13,310,036,867.32
  5. Step 5: Solve for x
    x = 13,310,036,867.32/126,522
  6. Step 6: Final answer
    x = 105,199.39

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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.