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Finding the Fourth Proportional to 126,475.65, 189,746.28 and 67,262.63

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Solution

The fourth proportional to 126,475.65, 189,746.28 and 67,262.63 is: 100,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,475.65 : 189,746.28 = 67,262.63 : x
  2. Step 2: Convert to fraction form
    126,475.65/189,746.28 = 67,262.63/x
  3. Step 3: Cross multiply
    126,475.65x = 189,746.28 × 67,262.63
  4. Step 4: Simplify right side
    126,475.65x = 12,762,832,876.79
  5. Step 5: Solve for x
    x = 12,762,832,876.79/126,475.65
  6. Step 6: Final answer
    x = 100,911.38

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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.