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Finding the Fourth Proportional to 212,915.76, 293,824.02 and 116,119.77

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Solution

The fourth proportional to 212,915.76, 293,824.02 and 116,119.77 is: 160,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,915.76 : 293,824.02 = 116,119.77 : x
  2. Step 2: Convert to fraction form
    212,915.76/293,824.02 = 116,119.77/x
  3. Step 3: Cross multiply
    212,915.76x = 293,824.02 × 116,119.77
  4. Step 4: Simplify right side
    212,915.76x = 34,118,777,042.28
  5. Step 5: Solve for x
    x = 34,118,777,042.28/212,915.76
  6. Step 6: Final answer
    x = 160,245.43

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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.