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Finding the Fourth Proportional to 165,083.84, 227,809.12 and 89,630.40

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Solution

The fourth proportional to 165,083.84, 227,809.12 and 89,630.40 is: 123,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,083.84 : 227,809.12 = 89,630.40 : x
  2. Step 2: Convert to fraction form
    165,083.84/227,809.12 = 89,630.40/x
  3. Step 3: Cross multiply
    165,083.84x = 227,809.12 × 89,630.40
  4. Step 4: Simplify right side
    165,083.84x = 20,418,622,549.25
  5. Step 5: Solve for x
    x = 20,418,622,549.25/165,083.84
  6. Step 6: Final answer
    x = 123,686.38

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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.