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Finding the Fourth Proportional to 209,744, 289,468.60 and 119,124.44

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Solution

The fourth proportional to 209,744, 289,468.60 and 119,124.44 is: 164,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,744 : 289,468.60 = 119,124.44 : x
  2. Step 2: Convert to fraction form
    209,744/289,468.60 = 119,124.44/x
  3. Step 3: Cross multiply
    209,744x = 289,468.60 × 119,124.44
  4. Step 4: Simplify right side
    209,744x = 34,482,784,872.58
  5. Step 5: Solve for x
    x = 34,482,784,872.58/209,744
  6. Step 6: Final answer
    x = 164,404.15

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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.