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Finding the Fourth Proportional to 311,135.82, 466,800.58 and 111,457.92

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Solution

The fourth proportional to 311,135.82, 466,800.58 and 111,457.92 is: 167,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,135.82 : 466,800.58 = 111,457.92 : x
  2. Step 2: Convert to fraction form
    311,135.82/466,800.58 = 111,457.92/x
  3. Step 3: Cross multiply
    311,135.82x = 466,800.58 × 111,457.92
  4. Step 4: Simplify right side
    311,135.82x = 52,028,621,701.59
  5. Step 5: Solve for x
    x = 52,028,621,701.59/311,135.82
  6. Step 6: Final answer
    x = 167,221.57

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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.