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Finding the Fourth Proportional to 278,862, 384,819.03 and 151,534.86

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Solution

The fourth proportional to 278,862, 384,819.03 and 151,534.86 is: 209,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,862 : 384,819.03 = 151,534.86 : x
  2. Step 2: Convert to fraction form
    278,862/384,819.03 = 151,534.86/x
  3. Step 3: Cross multiply
    278,862x = 384,819.03 × 151,534.86
  4. Step 4: Simplify right side
    278,862x = 58,313,497,836.39
  5. Step 5: Solve for x
    x = 58,313,497,836.39/278,862
  6. Step 6: Final answer
    x = 209,112.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.