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Finding the Fourth Proportional to 164,954.30, 227,639.58 and 89,502.80

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Solution

The fourth proportional to 164,954.30, 227,639.58 and 89,502.80 is: 123,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,954.30 : 227,639.58 = 89,502.80 : x
  2. Step 2: Convert to fraction form
    164,954.30/227,639.58 = 89,502.80/x
  3. Step 3: Cross multiply
    164,954.30x = 227,639.58 × 89,502.80
  4. Step 4: Simplify right side
    164,954.30x = 20,374,379,800.82
  5. Step 5: Solve for x
    x = 20,374,379,800.82/164,954.30
  6. Step 6: Final answer
    x = 123,515.30

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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.