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Finding the Fourth Proportional to 282,691.27, 424,099.44 and 93,143.98

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Solution

The fourth proportional to 282,691.27, 424,099.44 and 93,143.98 is: 139,736.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,691.27 : 424,099.44 = 93,143.98 : x
  2. Step 2: Convert to fraction form
    282,691.27/424,099.44 = 93,143.98/x
  3. Step 3: Cross multiply
    282,691.27x = 424,099.44 × 93,143.98
  4. Step 4: Simplify right side
    282,691.27x = 39,502,309,291.65
  5. Step 5: Solve for x
    x = 39,502,309,291.65/282,691.27
  6. Step 6: Final answer
    x = 139,736.57

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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.