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Finding the Fourth Proportional to 192,580.52, 288,994.70 and 103,895.24

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Solution

The fourth proportional to 192,580.52, 288,994.70 and 103,895.24 is: 155,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,580.52 : 288,994.70 = 103,895.24 : x
  2. Step 2: Convert to fraction form
    192,580.52/288,994.70 = 103,895.24/x
  3. Step 3: Cross multiply
    192,580.52x = 288,994.70 × 103,895.24
  4. Step 4: Simplify right side
    192,580.52x = 30,025,172,529.99
  5. Step 5: Solve for x
    x = 30,025,172,529.99/192,580.52
  6. Step 6: Final answer
    x = 155,909.71

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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.