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Finding the Fourth Proportional to 180,042.40, 269,896.62 and 61,685.62

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Solution

The fourth proportional to 180,042.40, 269,896.62 and 61,685.62 is: 92,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,042.40 : 269,896.62 = 61,685.62 : x
  2. Step 2: Convert to fraction form
    180,042.40/269,896.62 = 61,685.62/x
  3. Step 3: Cross multiply
    180,042.40x = 269,896.62 × 61,685.62
  4. Step 4: Simplify right side
    180,042.40x = 16,648,740,340.60
  5. Step 5: Solve for x
    x = 16,648,740,340.60/180,042.40
  6. Step 6: Final answer
    x = 92,471.22

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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.