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Finding the Fourth Proportional to 164,913.36, 227,580.34 and 89,461.86

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Solution

The fourth proportional to 164,913.36, 227,580.34 and 89,461.86 is: 123,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,913.36 : 227,580.34 = 89,461.86 : x
  2. Step 2: Convert to fraction form
    164,913.36/227,580.34 = 89,461.86/x
  3. Step 3: Cross multiply
    164,913.36x = 227,580.34 × 89,461.86
  4. Step 4: Simplify right side
    164,913.36x = 20,359,760,515.83
  5. Step 5: Solve for x
    x = 20,359,760,515.83/164,913.36
  6. Step 6: Final answer
    x = 123,457.31

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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.