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Finding the Fourth Proportional to 282,857.87, 424,006.53 and 132,829.60

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Solution

The fourth proportional to 282,857.87, 424,006.53 and 132,829.60 is: 199,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,857.87 : 424,006.53 = 132,829.60 : x
  2. Step 2: Convert to fraction form
    282,857.87/424,006.53 = 132,829.60/x
  3. Step 3: Cross multiply
    282,857.87x = 424,006.53 × 132,829.60
  4. Step 4: Simplify right side
    282,857.87x = 56,320,617,777.29
  5. Step 5: Solve for x
    x = 56,320,617,777.29/282,857.87
  6. Step 6: Final answer
    x = 199,112.78

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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.