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Finding the Fourth Proportional to 192,146.75, 287,834.56 and 176,451.58

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Solution

The fourth proportional to 192,146.75, 287,834.56 and 176,451.58 is: 264,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,146.75 : 287,834.56 = 176,451.58 : x
  2. Step 2: Convert to fraction form
    192,146.75/287,834.56 = 176,451.58/x
  3. Step 3: Cross multiply
    192,146.75x = 287,834.56 × 176,451.58
  4. Step 4: Simplify right side
    192,146.75x = 50,788,861,729.89
  5. Step 5: Solve for x
    x = 50,788,861,729.89/192,146.75
  6. Step 6: Final answer
    x = 264,323.30

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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.