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Finding the Fourth Proportional to 164,648.38, 227,214.72 and 89,196.88

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Solution

The fourth proportional to 164,648.38, 227,214.72 and 89,196.88 is: 123,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648.38 : 227,214.72 = 89,196.88 : x
  2. Step 2: Convert to fraction form
    164,648.38/227,214.72 = 89,196.88/x
  3. Step 3: Cross multiply
    164,648.38x = 227,214.72 × 89,196.88
  4. Step 4: Simplify right side
    164,648.38x = 20,266,844,114.07
  5. Step 5: Solve for x
    x = 20,266,844,114.07/164,648.38
  6. Step 6: Final answer
    x = 123,091.67

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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.