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Finding the Fourth Proportional to 164,970.38, 227,659.73 and 89,518.88

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Solution

The fourth proportional to 164,970.38, 227,659.73 and 89,518.88 is: 123,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,970.38 : 227,659.73 = 89,518.88 : x
  2. Step 2: Convert to fraction form
    164,970.38/227,659.73 = 89,518.88/x
  3. Step 3: Cross multiply
    164,970.38x = 227,659.73 × 89,518.88
  4. Step 4: Simplify right side
    164,970.38x = 20,379,842,464.81
  5. Step 5: Solve for x
    x = 20,379,842,464.81/164,970.38
  6. Step 6: Final answer
    x = 123,536.38

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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.