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Finding the Fourth Proportional to 194,915.32, 292,489.60 and 84,107.32

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Solution

The fourth proportional to 194,915.32, 292,489.60 and 84,107.32 is: 126,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,915.32 : 292,489.60 = 84,107.32 : x
  2. Step 2: Convert to fraction form
    194,915.32/292,489.60 = 84,107.32/x
  3. Step 3: Cross multiply
    194,915.32x = 292,489.60 × 84,107.32
  4. Step 4: Simplify right side
    194,915.32x = 24,600,516,383.87
  5. Step 5: Solve for x
    x = 24,600,516,383.87/194,915.32
  6. Step 6: Final answer
    x = 126,211.30

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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.