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Finding the Fourth Proportional to 282,647.43, 424,029.56 and 93,119.31

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Solution

The fourth proportional to 282,647.43, 424,029.56 and 93,119.31 is: 139,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,647.43 : 424,029.56 = 93,119.31 : x
  2. Step 2: Convert to fraction form
    282,647.43/424,029.56 = 93,119.31/x
  3. Step 3: Cross multiply
    282,647.43x = 424,029.56 × 93,119.31
  4. Step 4: Simplify right side
    282,647.43x = 39,485,339,581.21
  5. Step 5: Solve for x
    x = 39,485,339,581.21/282,647.43
  6. Step 6: Final answer
    x = 139,698.21

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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.