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Finding the Fourth Proportional to 164,913.32, 227,580.96 and 89,462.36

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Solution

The fourth proportional to 164,913.32, 227,580.96 and 89,462.36 is: 123,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,913.32 : 227,580.96 = 89,462.36 : x
  2. Step 2: Convert to fraction form
    164,913.32/227,580.96 = 89,462.36/x
  3. Step 3: Cross multiply
    164,913.32x = 227,580.96 × 89,462.36
  4. Step 4: Simplify right side
    164,913.32x = 20,359,929,772.67
  5. Step 5: Solve for x
    x = 20,359,929,772.67/164,913.32
  6. Step 6: Final answer
    x = 123,458.37

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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.