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Finding the Fourth Proportional to 164,894.24, 227,553.04 and 89,442.72

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Solution

The fourth proportional to 164,894.24, 227,553.04 and 89,442.72 is: 123,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,894.24 : 227,553.04 = 89,442.72 : x
  2. Step 2: Convert to fraction form
    164,894.24/227,553.04 = 89,442.72/x
  3. Step 3: Cross multiply
    164,894.24x = 227,553.04 × 89,442.72
  4. Step 4: Simplify right side
    164,894.24x = 20,352,962,841.87
  5. Step 5: Solve for x
    x = 20,352,962,841.87/164,894.24
  6. Step 6: Final answer
    x = 123,430.41

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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.