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Finding the Fourth Proportional to 206,529.60, 310,024.80 and 192,993.60

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Solution

The fourth proportional to 206,529.60, 310,024.80 and 192,993.60 is: 289,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,529.60 : 310,024.80 = 192,993.60 : x
  2. Step 2: Convert to fraction form
    206,529.60/310,024.80 = 192,993.60/x
  3. Step 3: Cross multiply
    206,529.60x = 310,024.80 × 192,993.60
  4. Step 4: Simplify right side
    206,529.60x = 59,832,802,241.28
  5. Step 5: Solve for x
    x = 59,832,802,241.28/206,529.60
  6. Step 6: Final answer
    x = 289,705.70

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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.