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Finding the Fourth Proportional to 164,914.23, 227,582.07 and 89,462.73

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Solution

The fourth proportional to 164,914.23, 227,582.07 and 89,462.73 is: 123,458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,914.23 : 227,582.07 = 89,462.73 : x
  2. Step 2: Convert to fraction form
    164,914.23/227,582.07 = 89,462.73/x
  3. Step 3: Cross multiply
    164,914.23x = 227,582.07 × 89,462.73
  4. Step 4: Simplify right side
    164,914.23x = 20,360,113,281.25
  5. Step 5: Solve for x
    x = 20,360,113,281.25/164,914.23
  6. Step 6: Final answer
    x = 123,458.80

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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.