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Finding the Fourth Proportional to 194,902.88, 292,354.31 and 47,158.88

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Solution

The fourth proportional to 194,902.88, 292,354.31 and 47,158.88 is: 70,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,902.88 : 292,354.31 = 47,158.88 : x
  2. Step 2: Convert to fraction form
    194,902.88/292,354.31 = 47,158.88/x
  3. Step 3: Cross multiply
    194,902.88x = 292,354.31 × 47,158.88
  4. Step 4: Simplify right side
    194,902.88x = 13,787,100,478.90
  5. Step 5: Solve for x
    x = 13,787,100,478.90/194,902.88
  6. Step 6: Final answer
    x = 70,738.31

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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.