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Finding the Fourth Proportional to 329,722.10, 494,573.88 and 105,096

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Solution

The fourth proportional to 329,722.10, 494,573.88 and 105,096 is: 157,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,722.10 : 494,573.88 = 105,096 : x
  2. Step 2: Convert to fraction form
    329,722.10/494,573.88 = 105,096/x
  3. Step 3: Cross multiply
    329,722.10x = 494,573.88 × 105,096
  4. Step 4: Simplify right side
    329,722.10x = 51,977,736,492.48
  5. Step 5: Solve for x
    x = 51,977,736,492.48/329,722.10
  6. Step 6: Final answer
    x = 157,641.05

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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.