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Finding the Fourth Proportional to 164,523.54, 227,041.46 and 89,071.50

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Solution

The fourth proportional to 164,523.54, 227,041.46 and 89,071.50 is: 122,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,523.54 : 227,041.46 = 89,071.50 : x
  2. Step 2: Convert to fraction form
    164,523.54/227,041.46 = 89,071.50/x
  3. Step 3: Cross multiply
    164,523.54x = 227,041.46 × 89,071.50
  4. Step 4: Simplify right side
    164,523.54x = 20,222,923,404.39
  5. Step 5: Solve for x
    x = 20,222,923,404.39/164,523.54
  6. Step 6: Final answer
    x = 122,918.11

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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.