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Finding the Fourth Proportional to 209,992.84, 289,794.90 and 119,334.52

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Solution

The fourth proportional to 209,992.84, 289,794.90 and 119,334.52 is: 164,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,992.84 : 289,794.90 = 119,334.52 : x
  2. Step 2: Convert to fraction form
    209,992.84/289,794.90 = 119,334.52/x
  3. Step 3: Cross multiply
    209,992.84x = 289,794.90 × 119,334.52
  4. Step 4: Simplify right side
    209,992.84x = 34,582,535,289.95
  5. Step 5: Solve for x
    x = 34,582,535,289.95/209,992.84
  6. Step 6: Final answer
    x = 164,684.35

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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.