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Finding the Fourth Proportional to 126,189.46, 174,141.12 and 72,477.96

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Solution

The fourth proportional to 126,189.46, 174,141.12 and 72,477.96 is: 100,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,189.46 : 174,141.12 = 72,477.96 : x
  2. Step 2: Convert to fraction form
    126,189.46/174,141.12 = 72,477.96/x
  3. Step 3: Cross multiply
    126,189.46x = 174,141.12 × 72,477.96
  4. Step 4: Simplify right side
    126,189.46x = 12,621,393,129.72
  5. Step 5: Solve for x
    x = 12,621,393,129.72/126,189.46
  6. Step 6: Final answer
    x = 100,019.39

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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.