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Finding the Fourth Proportional to 311,135.10, 466,799.53 and 111,457.21

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Solution

The fourth proportional to 311,135.10, 466,799.53 and 111,457.21 is: 167,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,135.10 : 466,799.53 = 111,457.21 : x
  2. Step 2: Convert to fraction form
    311,135.10/466,799.53 = 111,457.21/x
  3. Step 3: Cross multiply
    311,135.10x = 466,799.53 × 111,457.21
  4. Step 4: Simplify right side
    311,135.10x = 52,028,173,852.82
  5. Step 5: Solve for x
    x = 52,028,173,852.82/311,135.10
  6. Step 6: Final answer
    x = 167,220.52

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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.