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Finding the Fourth Proportional to 282,806.87, 424,120.14 and 93,231.90

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Solution

The fourth proportional to 282,806.87, 424,120.14 and 93,231.90 is: 139,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,806.87 : 424,120.14 = 93,231.90 : x
  2. Step 2: Convert to fraction form
    282,806.87/424,120.14 = 93,231.90/x
  3. Step 3: Cross multiply
    282,806.87x = 424,120.14 × 93,231.90
  4. Step 4: Simplify right side
    282,806.87x = 39,541,526,480.47
  5. Step 5: Solve for x
    x = 39,541,526,480.47/282,806.87
  6. Step 6: Final answer
    x = 139,818.13

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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.