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Finding the Fourth Proportional to 164,916.48, 227,584.26 and 89,464.96

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Solution

The fourth proportional to 164,916.48, 227,584.26 and 89,464.96 is: 123,461.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,916.48 : 227,584.26 = 89,464.96 : x
  2. Step 2: Convert to fraction form
    164,916.48/227,584.26 = 89,464.96/x
  3. Step 3: Cross multiply
    164,916.48x = 227,584.26 × 89,464.96
  4. Step 4: Simplify right side
    164,916.48x = 20,360,816,717.53
  5. Step 5: Solve for x
    x = 20,360,816,717.53/164,916.48
  6. Step 6: Final answer
    x = 123,461.38

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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.