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Finding the Fourth Proportional to 209,782.89, 289,500.76 and 119,138.84

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Solution

The fourth proportional to 209,782.89, 289,500.76 and 119,138.84 is: 164,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,782.89 : 289,500.76 = 119,138.84 : x
  2. Step 2: Convert to fraction form
    209,782.89/289,500.76 = 119,138.84/x
  3. Step 3: Cross multiply
    209,782.89x = 289,500.76 × 119,138.84
  4. Step 4: Simplify right side
    209,782.89x = 34,490,784,725.52
  5. Step 5: Solve for x
    x = 34,490,784,725.52/209,782.89
  6. Step 6: Final answer
    x = 164,411.81

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1.5x scale

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.