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Finding the Fourth Proportional to 204,381.54, 306,572.43 and 97,740.30

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Solution

The fourth proportional to 204,381.54, 306,572.43 and 97,740.30 is: 146,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,381.54 : 306,572.43 = 97,740.30 : x
  2. Step 2: Convert to fraction form
    204,381.54/306,572.43 = 97,740.30/x
  3. Step 3: Cross multiply
    204,381.54x = 306,572.43 × 97,740.30
  4. Step 4: Simplify right side
    204,381.54x = 29,964,481,279.93
  5. Step 5: Solve for x
    x = 29,964,481,279.93/204,381.54
  6. Step 6: Final answer
    x = 146,610.51

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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.