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Finding the Fourth Proportional to 311,137.82, 466,803.58 and 111,459.92

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Solution

The fourth proportional to 311,137.82, 466,803.58 and 111,459.92 is: 167,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,137.82 : 466,803.58 = 111,459.92 : x
  2. Step 2: Convert to fraction form
    311,137.82/466,803.58 = 111,459.92/x
  3. Step 3: Cross multiply
    311,137.82x = 466,803.58 × 111,459.92
  4. Step 4: Simplify right side
    311,137.82x = 52,029,889,682.51
  5. Step 5: Solve for x
    x = 52,029,889,682.51/311,137.82
  6. Step 6: Final answer
    x = 167,224.57

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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.