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Finding the Fourth Proportional to 214,571.76, 296,040.60 and 123,915.78

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Solution

The fourth proportional to 214,571.76, 296,040.60 and 123,915.78 is: 170,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,571.76 : 296,040.60 = 123,915.78 : x
  2. Step 2: Convert to fraction form
    214,571.76/296,040.60 = 123,915.78/x
  3. Step 3: Cross multiply
    214,571.76x = 296,040.60 × 123,915.78
  4. Step 4: Simplify right side
    214,571.76x = 36,684,101,860.67
  5. Step 5: Solve for x
    x = 36,684,101,860.67/214,571.76
  6. Step 6: Final answer
    x = 170,964.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.