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Finding the Fourth Proportional to 217,422.30, 326,133.45 and 164,934.30

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Solution

The fourth proportional to 217,422.30, 326,133.45 and 164,934.30 is: 247,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,422.30 : 326,133.45 = 164,934.30 : x
  2. Step 2: Convert to fraction form
    217,422.30/326,133.45 = 164,934.30/x
  3. Step 3: Cross multiply
    217,422.30x = 326,133.45 × 164,934.30
  4. Step 4: Simplify right side
    217,422.30x = 53,790,592,282.34
  5. Step 5: Solve for x
    x = 53,790,592,282.34/217,422.30
  6. Step 6: Final answer
    x = 247,401.45

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1.5x scale

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.