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Finding the Fourth Proportional to 126,149, 189,223.50 and 51,309.86

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Solution

The fourth proportional to 126,149, 189,223.50 and 51,309.86 is: 76,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,149 : 189,223.50 = 51,309.86 : x
  2. Step 2: Convert to fraction form
    126,149/189,223.50 = 51,309.86/x
  3. Step 3: Cross multiply
    126,149x = 189,223.50 × 51,309.86
  4. Step 4: Simplify right side
    126,149x = 9,709,031,293.71
  5. Step 5: Solve for x
    x = 9,709,031,293.71/126,149
  6. Step 6: Final answer
    x = 76,964.79

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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.