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Finding the Fourth Proportional to 164,659.37, 227,228.64 and 89,207.87

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Solution

The fourth proportional to 164,659.37, 227,228.64 and 89,207.87 is: 123,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,659.37 : 227,228.64 = 89,207.87 : x
  2. Step 2: Convert to fraction form
    164,659.37/227,228.64 = 89,207.87/x
  3. Step 3: Cross multiply
    164,659.37x = 227,228.64 × 89,207.87
  4. Step 4: Simplify right side
    164,659.37x = 20,270,581,841.25
  5. Step 5: Solve for x
    x = 20,270,581,841.25/164,659.37
  6. Step 6: Final answer
    x = 123,106.16

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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.