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Finding the Fourth Proportional to 212,077.72, 318,108.26 and 71,836.34

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Solution

The fourth proportional to 212,077.72, 318,108.26 and 71,836.34 is: 107,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,077.72 : 318,108.26 = 71,836.34 : x
  2. Step 2: Convert to fraction form
    212,077.72/318,108.26 = 71,836.34/x
  3. Step 3: Cross multiply
    212,077.72x = 318,108.26 × 71,836.34
  4. Step 4: Simplify right side
    212,077.72x = 22,851,731,711.22
  5. Step 5: Solve for x
    x = 22,851,731,711.22/212,077.72
  6. Step 6: Final answer
    x = 107,751.69

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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.