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Finding the Fourth Proportional to 278,961.57, 384,966.68 and 151,638.08

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Solution

The fourth proportional to 278,961.57, 384,966.68 and 151,638.08 is: 209,260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,961.57 : 384,966.68 = 151,638.08 : x
  2. Step 2: Convert to fraction form
    278,961.57/384,966.68 = 151,638.08/x
  3. Step 3: Cross multiply
    278,961.57x = 384,966.68 × 151,638.08
  4. Step 4: Simplify right side
    278,961.57x = 58,375,605,536.15
  5. Step 5: Solve for x
    x = 58,375,605,536.15/278,961.57
  6. Step 6: Final answer
    x = 209,260.38

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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.