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Finding the Fourth Proportional to 234,915.59, 352,370.34 and 57,424.16

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Solution

The fourth proportional to 234,915.59, 352,370.34 and 57,424.16 is: 86,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,915.59 : 352,370.34 = 57,424.16 : x
  2. Step 2: Convert to fraction form
    234,915.59/352,370.34 = 57,424.16/x
  3. Step 3: Cross multiply
    234,915.59x = 352,370.34 × 57,424.16
  4. Step 4: Simplify right side
    234,915.59x = 20,234,569,021.56
  5. Step 5: Solve for x
    x = 20,234,569,021.56/234,915.59
  6. Step 6: Final answer
    x = 86,135.49

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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.