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Finding the Fourth Proportional to 204,032.90, 306,049.35 and 164,666.90

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Solution

The fourth proportional to 204,032.90, 306,049.35 and 164,666.90 is: 247,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032.90 : 306,049.35 = 164,666.90 : x
  2. Step 2: Convert to fraction form
    204,032.90/306,049.35 = 164,666.90/x
  3. Step 3: Cross multiply
    204,032.90x = 306,049.35 × 164,666.90
  4. Step 4: Simplify right side
    204,032.90x = 50,396,197,711.52
  5. Step 5: Solve for x
    x = 50,396,197,711.52/204,032.90
  6. Step 6: Final answer
    x = 247,000.35

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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.