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Finding the Fourth Proportional to 282,364.78, 423,599.15 and 92,835.85

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Solution

The fourth proportional to 282,364.78, 423,599.15 and 92,835.85 is: 139,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,364.78 : 423,599.15 = 92,835.85 : x
  2. Step 2: Convert to fraction form
    282,364.78/423,599.15 = 92,835.85/x
  3. Step 3: Cross multiply
    282,364.78x = 423,599.15 × 92,835.85
  4. Step 4: Simplify right side
    282,364.78x = 39,325,187,149.53
  5. Step 5: Solve for x
    x = 39,325,187,149.53/282,364.78
  6. Step 6: Final answer
    x = 139,270.86

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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.