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Finding the Fourth Proportional to 126,059.52, 189,089.28 and 73,468.80

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Solution

The fourth proportional to 126,059.52, 189,089.28 and 73,468.80 is: 110,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,059.52 : 189,089.28 = 73,468.80 : x
  2. Step 2: Convert to fraction form
    126,059.52/189,089.28 = 73,468.80/x
  3. Step 3: Cross multiply
    126,059.52x = 189,089.28 × 73,468.80
  4. Step 4: Simplify right side
    126,059.52x = 13,892,162,494.46
  5. Step 5: Solve for x
    x = 13,892,162,494.46/126,059.52
  6. Step 6: Final answer
    x = 110,203.20

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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.