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Finding the Fourth Proportional to 217,951.20, 326,926.80 and 164,807.10

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Solution

The fourth proportional to 217,951.20, 326,926.80 and 164,807.10 is: 247,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,951.20 : 326,926.80 = 164,807.10 : x
  2. Step 2: Convert to fraction form
    217,951.20/326,926.80 = 164,807.10/x
  3. Step 3: Cross multiply
    217,951.20x = 326,926.80 × 164,807.10
  4. Step 4: Simplify right side
    217,951.20x = 53,879,857,820.28
  5. Step 5: Solve for x
    x = 53,879,857,820.28/217,951.20
  6. Step 6: Final answer
    x = 247,210.65

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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.