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Finding the Fourth Proportional to 311,173.12, 466,842.74 and 111,513.69

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Solution

The fourth proportional to 311,173.12, 466,842.74 and 111,513.69 is: 167,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,173.12 : 466,842.74 = 111,513.69 : x
  2. Step 2: Convert to fraction form
    311,173.12/466,842.74 = 111,513.69/x
  3. Step 3: Cross multiply
    311,173.12x = 466,842.74 × 111,513.69
  4. Step 4: Simplify right side
    311,173.12x = 52,059,356,587.11
  5. Step 5: Solve for x
    x = 52,059,356,587.11/311,173.12
  6. Step 6: Final answer
    x = 167,300.30

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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.