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Finding the Fourth Proportional to 151,954.84, 209,694.04 and 83,968.30

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Solution

The fourth proportional to 151,954.84, 209,694.04 and 83,968.30 is: 115,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,954.84 : 209,694.04 = 83,968.30 : x
  2. Step 2: Convert to fraction form
    151,954.84/209,694.04 = 83,968.30/x
  3. Step 3: Cross multiply
    151,954.84x = 209,694.04 × 83,968.30
  4. Step 4: Simplify right side
    151,954.84x = 17,607,652,058.93
  5. Step 5: Solve for x
    x = 17,607,652,058.93/151,954.84
  6. Step 6: Final answer
    x = 115,874.24

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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.