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Finding the Fourth Proportional to 164,655.59, 227,225.81 and 89,204.09

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Solution

The fourth proportional to 164,655.59, 227,225.81 and 89,204.09 is: 123,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,655.59 : 227,225.81 = 89,204.09 : x
  2. Step 2: Convert to fraction form
    164,655.59/227,225.81 = 89,204.09/x
  3. Step 3: Cross multiply
    164,655.59x = 227,225.81 × 89,204.09
  4. Step 4: Simplify right side
    164,655.59x = 20,269,471,159.54
  5. Step 5: Solve for x
    x = 20,269,471,159.54/164,655.59
  6. Step 6: Final answer
    x = 123,102.24

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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.