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Finding the Fourth Proportional to 164,676.73, 227,253.93 and 89,225.23

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Solution

The fourth proportional to 164,676.73, 227,253.93 and 89,225.23 is: 123,130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,676.73 : 227,253.93 = 89,225.23 : x
  2. Step 2: Convert to fraction form
    164,676.73/227,253.93 = 89,225.23/x
  3. Step 3: Cross multiply
    164,676.73x = 227,253.93 × 89,225.23
  4. Step 4: Simplify right side
    164,676.73x = 20,276,783,036.38
  5. Step 5: Solve for x
    x = 20,276,783,036.38/164,676.73
  6. Step 6: Final answer
    x = 123,130.84

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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.