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Finding the Fourth Proportional to 194,902.60, 291,893.10 and 132,233.80

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Solution

The fourth proportional to 194,902.60, 291,893.10 and 132,233.80 is: 198,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,902.60 : 291,893.10 = 132,233.80 : x
  2. Step 2: Convert to fraction form
    194,902.60/291,893.10 = 132,233.80/x
  3. Step 3: Cross multiply
    194,902.60x = 291,893.10 × 132,233.80
  4. Step 4: Simplify right side
    194,902.60x = 38,598,133,806.78
  5. Step 5: Solve for x
    x = 38,598,133,806.78/194,902.60
  6. Step 6: Final answer
    x = 198,038.07

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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.