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Finding the Fourth Proportional to 217,092.30, 325,077.62 and 149,831.94

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Solution

The fourth proportional to 217,092.30, 325,077.62 and 149,831.94 is: 224,360.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,092.30 : 325,077.62 = 149,831.94 : x
  2. Step 2: Convert to fraction form
    217,092.30/325,077.62 = 149,831.94/x
  3. Step 3: Cross multiply
    217,092.30x = 325,077.62 × 149,831.94
  4. Step 4: Simplify right side
    217,092.30x = 48,707,010,455.18
  5. Step 5: Solve for x
    x = 48,707,010,455.18/217,092.30
  6. Step 6: Final answer
    x = 224,360.84

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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.