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Finding the Fourth Proportional to 285,527.14, 394,034.16 and 164,673.52

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Solution

The fourth proportional to 285,527.14, 394,034.16 and 164,673.52 is: 227,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,527.14 : 394,034.16 = 164,673.52 : x
  2. Step 2: Convert to fraction form
    285,527.14/394,034.16 = 164,673.52/x
  3. Step 3: Cross multiply
    285,527.14x = 394,034.16 × 164,673.52
  4. Step 4: Simplify right side
    285,527.14x = 64,886,992,127.44
  5. Step 5: Solve for x
    x = 64,886,992,127.44/285,527.14
  6. Step 6: Final answer
    x = 227,253.33

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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.