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Finding the Fourth Proportional to 148,548.38, 204,997.10 and 84,886.02

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Solution

The fourth proportional to 148,548.38, 204,997.10 and 84,886.02 is: 117,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,548.38 : 204,997.10 = 84,886.02 : x
  2. Step 2: Convert to fraction form
    148,548.38/204,997.10 = 84,886.02/x
  3. Step 3: Cross multiply
    148,548.38x = 204,997.10 × 84,886.02
  4. Step 4: Simplify right side
    148,548.38x = 17,401,387,506.11
  5. Step 5: Solve for x
    x = 17,401,387,506.11/148,548.38
  6. Step 6: Final answer
    x = 117,142.90

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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.