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Finding the Fourth Proportional to 298,287.81, 411,637.25 and 164,151.81

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Solution

The fourth proportional to 298,287.81, 411,637.25 and 164,151.81 is: 226,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,287.81 : 411,637.25 = 164,151.81 : x
  2. Step 2: Convert to fraction form
    298,287.81/411,637.25 = 164,151.81/x
  3. Step 3: Cross multiply
    298,287.81x = 411,637.25 × 164,151.81
  4. Step 4: Simplify right side
    298,287.81x = 67,570,999,650.92
  5. Step 5: Solve for x
    x = 67,570,999,650.92/298,287.81
  6. Step 6: Final answer
    x = 226,529.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.