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Finding the Fourth Proportional to 180,878.74, 271,281.14 and 68,520.22

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Solution

The fourth proportional to 180,878.74, 271,281.14 and 68,520.22 is: 102,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,878.74 : 271,281.14 = 68,520.22 : x
  2. Step 2: Convert to fraction form
    180,878.74/271,281.14 = 68,520.22/x
  3. Step 3: Cross multiply
    180,878.74x = 271,281.14 × 68,520.22
  4. Step 4: Simplify right side
    180,878.74x = 18,588,243,394.65
  5. Step 5: Solve for x
    x = 18,588,243,394.65/180,878.74
  6. Step 6: Final answer
    x = 102,766.33

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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.