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Finding the Fourth Proportional to 191,469.71, 264,217.82 and 105,411.87

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Solution

The fourth proportional to 191,469.71, 264,217.82 and 105,411.87 is: 145,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,469.71 : 264,217.82 = 105,411.87 : x
  2. Step 2: Convert to fraction form
    191,469.71/264,217.82 = 105,411.87/x
  3. Step 3: Cross multiply
    191,469.71x = 264,217.82 × 105,411.87
  4. Step 4: Simplify right side
    191,469.71x = 27,851,694,757.05
  5. Step 5: Solve for x
    x = 27,851,694,757.05/191,469.71
  6. Step 6: Final answer
    x = 145,462.67

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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.