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Finding the Fourth Proportional to 282,683.52, 424,079.28 and 93,198.48

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Solution

The fourth proportional to 282,683.52, 424,079.28 and 93,198.48 is: 139,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,683.52 : 424,079.28 = 93,198.48 : x
  2. Step 2: Convert to fraction form
    282,683.52/424,079.28 = 93,198.48/x
  3. Step 3: Cross multiply
    282,683.52x = 424,079.28 × 93,198.48
  4. Step 4: Simplify right side
    282,683.52x = 39,523,544,295.49
  5. Step 5: Solve for x
    x = 39,523,544,295.49/282,683.52
  6. Step 6: Final answer
    x = 139,815.52

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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.