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Finding the Fourth Proportional to 164,497.74, 227,007.56 and 89,046.24

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Solution

The fourth proportional to 164,497.74, 227,007.56 and 89,046.24 is: 122,884.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,497.74 : 227,007.56 = 89,046.24 : x
  2. Step 2: Convert to fraction form
    164,497.74/227,007.56 = 89,046.24/x
  3. Step 3: Cross multiply
    164,497.74x = 227,007.56 × 89,046.24
  4. Step 4: Simplify right side
    164,497.74x = 20,214,169,040.91
  5. Step 5: Solve for x
    x = 20,214,169,040.91/164,497.74
  6. Step 6: Final answer
    x = 122,884.18

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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.