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Finding the Fourth Proportional to 117,041.98, 161,431.01 and 71,101.42

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Solution

The fourth proportional to 117,041.98, 161,431.01 and 71,101.42 is: 98,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,041.98 : 161,431.01 = 71,101.42 : x
  2. Step 2: Convert to fraction form
    117,041.98/161,431.01 = 71,101.42/x
  3. Step 3: Cross multiply
    117,041.98x = 161,431.01 × 71,101.42
  4. Step 4: Simplify right side
    117,041.98x = 11,477,974,304.56
  5. Step 5: Solve for x
    x = 11,477,974,304.56/117,041.98
  6. Step 6: Final answer
    x = 98,067.16

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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.