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Finding the Fourth Proportional to 212,149.44, 318,276 and 71,909.28

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Solution

The fourth proportional to 212,149.44, 318,276 and 71,909.28 is: 107,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,149.44 : 318,276 = 71,909.28 : x
  2. Step 2: Convert to fraction form
    212,149.44/318,276 = 71,909.28/x
  3. Step 3: Cross multiply
    212,149.44x = 318,276 × 71,909.28
  4. Step 4: Simplify right side
    212,149.44x = 22,886,998,001.28
  5. Step 5: Solve for x
    x = 22,886,998,001.28/212,149.44
  6. Step 6: Final answer
    x = 107,881.49

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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.