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Finding the Fourth Proportional to 206,465.60, 309,928.80 and 192,929.60

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Solution

The fourth proportional to 206,465.60, 309,928.80 and 192,929.60 is: 289,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,465.60 : 309,928.80 = 192,929.60 : x
  2. Step 2: Convert to fraction form
    206,465.60/309,928.80 = 192,929.60/x
  3. Step 3: Cross multiply
    206,465.60x = 309,928.80 × 192,929.60
  4. Step 4: Simplify right side
    206,465.60x = 59,794,439,412.48
  5. Step 5: Solve for x
    x = 59,794,439,412.48/206,465.60
  6. Step 6: Final answer
    x = 289,609.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.