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Finding the Fourth Proportional to 311,779.38, 467,670.06 and 87,138.34

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Solution

The fourth proportional to 311,779.38, 467,670.06 and 87,138.34 is: 130,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,779.38 : 467,670.06 = 87,138.34 : x
  2. Step 2: Convert to fraction form
    311,779.38/467,670.06 = 87,138.34/x
  3. Step 3: Cross multiply
    311,779.38x = 467,670.06 × 87,138.34
  4. Step 4: Simplify right side
    311,779.38x = 40,751,992,696.10
  5. Step 5: Solve for x
    x = 40,751,992,696.10/311,779.38
  6. Step 6: Final answer
    x = 130,707.79

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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.