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Finding the Fourth Proportional to 204,897.79, 306,808.17 and 164,703.43

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Solution

The fourth proportional to 204,897.79, 306,808.17 and 164,703.43 is: 246,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,897.79 : 306,808.17 = 164,703.43 : x
  2. Step 2: Convert to fraction form
    204,897.79/306,808.17 = 164,703.43/x
  3. Step 3: Cross multiply
    204,897.79x = 306,808.17 × 164,703.43
  4. Step 4: Simplify right side
    204,897.79x = 50,532,357,951.02
  5. Step 5: Solve for x
    x = 50,532,357,951.02/204,897.79
  6. Step 6: Final answer
    x = 246,622.27

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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.