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Finding the Fourth Proportional to 164,464.79, 226,962.11 and 89,013.29

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Solution

The fourth proportional to 164,464.79, 226,962.11 and 89,013.29 is: 122,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,464.79 : 226,962.11 = 89,013.29 : x
  2. Step 2: Convert to fraction form
    164,464.79/226,962.11 = 89,013.29/x
  3. Step 3: Cross multiply
    164,464.79x = 226,962.11 × 89,013.29
  4. Step 4: Simplify right side
    164,464.79x = 20,202,644,493.28
  5. Step 5: Solve for x
    x = 20,202,644,493.28/164,464.79
  6. Step 6: Final answer
    x = 122,838.72

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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.