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Finding the Fourth Proportional to 161,999.68, 223,556.38 and 89,409.40

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Solution

The fourth proportional to 161,999.68, 223,556.38 and 89,409.40 is: 123,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,999.68 : 223,556.38 = 89,409.40 : x
  2. Step 2: Convert to fraction form
    161,999.68/223,556.38 = 89,409.40/x
  3. Step 3: Cross multiply
    161,999.68x = 223,556.38 × 89,409.40
  4. Step 4: Simplify right side
    161,999.68x = 19,988,041,801.97
  5. Step 5: Solve for x
    x = 19,988,041,801.97/161,999.68
  6. Step 6: Final answer
    x = 123,383.22

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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.