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Finding the Fourth Proportional to 234,865.41, 352,297.16 and 85,070.64

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Solution

The fourth proportional to 234,865.41, 352,297.16 and 85,070.64 is: 127,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,865.41 : 352,297.16 = 85,070.64 : x
  2. Step 2: Convert to fraction form
    234,865.41/352,297.16 = 85,070.64/x
  3. Step 3: Cross multiply
    234,865.41x = 352,297.16 × 85,070.64
  4. Step 4: Simplify right side
    234,865.41x = 29,970,145,084.06
  5. Step 5: Solve for x
    x = 29,970,145,084.06/234,865.41
  6. Step 6: Final answer
    x = 127,605.61

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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.