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Finding the Fourth Proportional to 164,657.58, 227,227.80 and 89,206.08

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Solution

The fourth proportional to 164,657.58, 227,227.80 and 89,206.08 is: 123,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,657.58 : 227,227.80 = 89,206.08 : x
  2. Step 2: Convert to fraction form
    164,657.58/227,227.80 = 89,206.08/x
  3. Step 3: Cross multiply
    164,657.58x = 227,227.80 × 89,206.08
  4. Step 4: Simplify right side
    164,657.58x = 20,270,101,305.02
  5. Step 5: Solve for x
    x = 20,270,101,305.02/164,657.58
  6. Step 6: Final answer
    x = 123,104.57

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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.