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Finding the Fourth Proportional to 180,041.40, 269,895.12 and 61,684.62

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Solution

The fourth proportional to 180,041.40, 269,895.12 and 61,684.62 is: 92,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,041.40 : 269,895.12 = 61,684.62 : x
  2. Step 2: Convert to fraction form
    180,041.40/269,895.12 = 61,684.62/x
  3. Step 3: Cross multiply
    180,041.40x = 269,895.12 × 61,684.62
  4. Step 4: Simplify right side
    180,041.40x = 16,648,377,917.05
  5. Step 5: Solve for x
    x = 16,648,377,917.05/180,041.40
  6. Step 6: Final answer
    x = 92,469.72

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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.