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Finding the Fourth Proportional to 194,984.76, 292,283.37 and 135,695.88

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Solution

The fourth proportional to 194,984.76, 292,283.37 and 135,695.88 is: 203,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,984.76 : 292,283.37 = 135,695.88 : x
  2. Step 2: Convert to fraction form
    194,984.76/292,283.37 = 135,695.88/x
  3. Step 3: Cross multiply
    194,984.76x = 292,283.37 × 135,695.88
  4. Step 4: Simplify right side
    194,984.76x = 39,661,649,101.52
  5. Step 5: Solve for x
    x = 39,661,649,101.52/194,984.76
  6. Step 6: Final answer
    x = 203,408.97

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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.