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Finding the Fourth Proportional to 282,760.36, 424,198.86 and 95,767

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Solution

The fourth proportional to 282,760.36, 424,198.86 and 95,767 is: 143,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,760.36 : 424,198.86 = 95,767 : x
  2. Step 2: Convert to fraction form
    282,760.36/424,198.86 = 95,767/x
  3. Step 3: Cross multiply
    282,760.36x = 424,198.86 × 95,767
  4. Step 4: Simplify right side
    282,760.36x = 40,624,252,225.62
  5. Step 5: Solve for x
    x = 40,624,252,225.62/282,760.36
  6. Step 6: Final answer
    x = 143,670.25

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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.