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Finding the Fourth Proportional to 164,906.88, 227,569.92 and 89,455.68

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Solution

The fourth proportional to 164,906.88, 227,569.92 and 89,455.68 is: 123,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,906.88 : 227,569.92 = 89,455.68 : x
  2. Step 2: Convert to fraction form
    164,906.88/227,569.92 = 89,455.68/x
  3. Step 3: Cross multiply
    164,906.88x = 227,569.92 × 89,455.68
  4. Step 4: Simplify right side
    164,906.88x = 20,357,421,941.15
  5. Step 5: Solve for x
    x = 20,357,421,941.15/164,906.88
  6. Step 6: Final answer
    x = 123,447.98

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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.