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Finding the Fourth Proportional to 217,266.30, 325,899.45 and 164,778.30

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Solution

The fourth proportional to 217,266.30, 325,899.45 and 164,778.30 is: 247,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,266.30 : 325,899.45 = 164,778.30 : x
  2. Step 2: Convert to fraction form
    217,266.30/325,899.45 = 164,778.30/x
  3. Step 3: Cross multiply
    217,266.30x = 325,899.45 × 164,778.30
  4. Step 4: Simplify right side
    217,266.30x = 53,701,157,341.94
  5. Step 5: Solve for x
    x = 53,701,157,341.94/217,266.30
  6. Step 6: Final answer
    x = 247,167.45

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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.