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Finding the Fourth Proportional to 282,435.54, 423,632.80 and 92,893.72

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Solution

The fourth proportional to 282,435.54, 423,632.80 and 92,893.72 is: 139,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,435.54 : 423,632.80 = 92,893.72 : x
  2. Step 2: Convert to fraction form
    282,435.54/423,632.80 = 92,893.72/x
  3. Step 3: Cross multiply
    282,435.54x = 423,632.80 × 92,893.72
  4. Step 4: Simplify right side
    282,435.54x = 39,352,826,557.36
  5. Step 5: Solve for x
    x = 39,352,826,557.36/282,435.54
  6. Step 6: Final answer
    x = 139,333.83

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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.