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Finding the Fourth Proportional to 164,984.34, 227,678.55 and 89,532.84

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Solution

The fourth proportional to 164,984.34, 227,678.55 and 89,532.84 is: 123,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,984.34 : 227,678.55 = 89,532.84 : x
  2. Step 2: Convert to fraction form
    164,984.34/227,678.55 = 89,532.84/x
  3. Step 3: Cross multiply
    164,984.34x = 227,678.55 × 89,532.84
  4. Step 4: Simplify right side
    164,984.34x = 20,384,707,188.58
  5. Step 5: Solve for x
    x = 20,384,707,188.58/164,984.34
  6. Step 6: Final answer
    x = 123,555.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.