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Finding the Fourth Proportional to 217,084.81, 325,066.41 and 149,824.39

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Solution

The fourth proportional to 217,084.81, 325,066.41 and 149,824.39 is: 224,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,084.81 : 325,066.41 = 149,824.39 : x
  2. Step 2: Convert to fraction form
    217,084.81/325,066.41 = 149,824.39/x
  3. Step 3: Cross multiply
    217,084.81x = 325,066.41 × 149,824.39
  4. Step 4: Simplify right side
    217,084.81x = 48,702,876,587.74
  5. Step 5: Solve for x
    x = 48,702,876,587.74/217,084.81
  6. Step 6: Final answer
    x = 224,349.54

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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.