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Finding the Fourth Proportional to 217,085.06, 325,066.79 and 149,824.64

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Solution

The fourth proportional to 217,085.06, 325,066.79 and 149,824.64 is: 224,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,085.06 : 325,066.79 = 149,824.64 : x
  2. Step 2: Convert to fraction form
    217,085.06/325,066.79 = 149,824.64/x
  3. Step 3: Cross multiply
    217,085.06x = 325,066.79 × 149,824.64
  4. Step 4: Simplify right side
    217,085.06x = 48,703,012,413.25
  5. Step 5: Solve for x
    x = 48,703,012,413.25/217,085.06
  6. Step 6: Final answer
    x = 224,349.91

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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.