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Finding the Fourth Proportional to 278,920.60, 384,913.42 and 151,596.20

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Solution

The fourth proportional to 278,920.60, 384,913.42 and 151,596.20 is: 209,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,920.60 : 384,913.42 = 151,596.20 : x
  2. Step 2: Convert to fraction form
    278,920.60/384,913.42 = 151,596.20/x
  3. Step 3: Cross multiply
    278,920.60x = 384,913.42 × 151,596.20
  4. Step 4: Simplify right side
    278,920.60x = 58,351,411,801.00
  5. Step 5: Solve for x
    x = 58,351,411,801.00/278,920.60
  6. Step 6: Final answer
    x = 209,204.38

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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.